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Both data mining and the field of bioinformatics are young and vibrant and thus there are ample opportunities for interesting lines of future research at their intersection.. Uncertainty

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from the perspective mining of mining a single (large) network in the presence

of noise and uncertainty

Both data mining and the field of bioinformatics are young and vibrant and thus there are ample opportunities for interesting lines of future research at their intersection Sticking to the theme of this article – graph mining in bioinformatics – below we list several such opportunities This list is by no means a comprehensive list but highlight some of the potential opportunities researchers may avail of

Scalable algorithms for analyzing time varying networks: A large ma-jority of the work to date in this field has focused on the analysis of static networks While there have been some recent efforts to analyze dynamic biological networks, research in this arena is at its infancy With antici-pated advances in technology where much more temporal data is likely

to become available temporal analysis of such networks is likely to be an important arena of future research Underpinning this effort, given the size and dynamics of the data involved are the need to develop scalable algorithms for processing and analyzing such data

Discovering anomalous structures in graph data: Again while most of the work to date has focused on the discovery of frequent or modular structure within such data – the discovery of anomalous substructures often has a crucial role to play in such domains Defining what con-stitutes an anomaly, how to compute it efficiently while leveraging the ambient knowledge in the domain in question are some of the challenges

to be addressed

Integrating data from multiple, possibly conflicting sources: A funda-mental challenge in bioinformatics in general is that of data integration Data is available in many formats and often times are in conflict For ex-ample protein interaction data produced by various experimental meth-ods (mass spectrometry, Yeast2Hybrid, in-silico) are often in conflict Research into methods that are capable of resolving such conflicts while still discovering useful patterns are needed

Incorporating domain information: It has been our observation that often

we as data mining researchers tend to under-utilize available domain information This may arise out of ignorance (the field of bioinformatics

is very vast) or simply omitted from the training phase as a means to confirm the utility of the proposed methods (to maintain the sanctity

of the validation procedure) We believe a fresh look at how domain knowledge can be embedded in existing approaches and better validation methodologies in close conjunction with domain experts must be looked into

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Uncertainty-aware and noise-tolerant methods: While this has certainly been an active area of research in the bioinformatics community in gen-eral, and in the field of graph mining in bioinformatics in particular, there are still many open problems here Incorporating uncertainty is necessarily a domain-dependent issue and probabilistic approaches of-fer exciting possibilities Additionally leveraging topological, relational and other semantic characteristics of the data effectively is an interesting topic for future research A related challenge here is to model trust and provenance related information

Ranking and summarizing patterns harvested: While ranking and sum-marizing patterns has been the subject of much research in the data min-ing and network science community the role of such methods in bioin-formatics has been much less researched We expect this to be a very important and active area of research especially since often times evalu-ating and validevalu-ating patterns discovered can be an expensive and time consuming process In this context research into ranking algorithms for bioinformatics that leverage domain knowledge and mechanisms for summarizing patterns harvested is an exciting opportunity for future re-search

References

[1] Akutsu, T (1992) An RNC algorithm for finding a largest common

subtree of two trees IEICE Transactions on Information and Systems,

75(1):95–101

[2] Aoki, K., Mamitsuka, H., Akutsu, T., and Kanehisa, M (2005) A score

matrix to reveal the hidden links in glycans Bioinformatics, 21(8):1457–

1463

[3] Aoki, K., Ueda, N., Yamaguchi, A., Kanehisa, M., Akutsu, T., and Mamit-suka, H (2004a) Application of a new probabilistic model for recognizing complex patterns in glycans

[4] Aoki, K., Yamaguchi, A., Okuno, Y., Akutsu, T., Ueda, N., Kanehisa, M., and Mamitsuka, H (2003) Efficient tree-matching methods for accurate

carbohydrate database queries Genome Informatics Sl, pages 134–143.

[5] Aoki, K., Yamaguchi, A., Ueda, N., Akutsu, T., Mamitsuka, H., Goto, S., and Kanehisa, M (2004b) KCaM (KEGG Carbohydrate Matcher): a

soft-ware tool for analyzing the structures of carbohydrate sugar chains Nu-cleic acids research, 32(Web Server Issue):W267.

[6] Asur, S., Ucar, D., and Parthasarathy, S (2007) An ensemble

frame-work for clustering protein protein interaction netframe-works Bioinformatics,

23(13):i29

Trang 3

[7] Avogadri, R and Valentini, G (2009) Fuzzy ensemble clustering based

on random projections for DNA microarray data analysis Artificial Intel-ligence in Medicine, 45(2-3):173–183.

[8] Bader, G and Hogue, C (2003) An automated method for finding

molec-ular complexes in large protein interaction networks BMC Bioinfomatics,

4:2

[9] Bafna, V., Muthukrishnan, S., and Ravi, R (1995) Computing similarity

between RNA strings In Combinatorial Pattern Matching (CPM), volume

937 of LNCS.

[10] Bar-Joseph, Z., Gerber, G., Lee, T., Rinaldi, N., Yoo, J., Robert, F., Gor-don, D., Fraenkel, E., Jaakkola, T., Young, R., et al (2003) Computational

discovery of gene modules and regulatory networks Nature Biotechnol-ogy, 21(11):1337–1342.

[11] Benedetti, G and Morosetti, S (1996) A graph-topological approach to

recognition of pattern and similarity in RNA secondary structures Bio-physical chemistry, 59(1-2):179–184.

[12] Bille, P (2005) A survey on tree edit distance and related problems

Theoretical computer science, 337(1-3):217–239.

[13] Bohne-Lang, A., Lang, E., F -orster, T., and von der Lieth, C (2001) LIN-UCS: linear notation for unique description of carbohydrate sequences

Carbohydrate research, 336(1):1–11.

[14] Brohee, S and van Helden, J (2006) Evaluation of clustering algorithms

for protein-protein interaction networks BMC bioinformatics, 7(1):488.

[15] Butte, A and Kohane, I (2000) Mutual information relevance networks: functional genomic clustering using pairwise entropy measurements In

Pac Symp Biocomput, volume 5, pages 418–429.

[16] Chakrabarti, D and Faloutsos, C (2006) Graph mining: Laws,

genera-tors, and algorithms ACM Computing Surveys (CSUR), 38(1).

[17] Chawathe, S and Garcia-Molina, H (1997) Meaningful change

detec-tion in structured data ACM SIGMOD Record, 26(2):26–37.

[18] Chawathe, S., Rajaraman, A., Garcia-Molina, H., and Widom, J (1996)

Change detection in hierarchically structured information In Proceedings

of the 1996 ACM SIGMOD international conference on Management of data, pages 493–504 ACM New York, NY, USA.

[19] Chen, J., Hsu, W., Lee, M., and Ng, S (2006) NeMoFinder: Dissecting genome-wide protein-protein interactions with meso-scale network

mo-tifs In Proceedings of the 12th ACM SIGKDD international conference on Knowledge discovery and data mining, pages 106–115 ACM New York,

NY, USA

Trang 4

[20] Chen, J., Hsu, W., Lee, M L., and Ng, S.-K (2007) Labeling network

motifs in protein interactomes for protein function prediction Data Engi-neering, International Conference on, 0:546–555.

[21] Cheng, Y and Church, G (2000) Biclustering of expression data In

Proceedings of the Eighth International Conference on Intelligent Systems for Molecular Biology table of contents, pages 93–103 AAAI Press.

[22] Chua, H., Ning, K., Sung, W., Leong, H., and Wong, L (2007) Using

in-direct protein-protein interactions for protein complex prediction In Com-putational Systems Bioinformatics: Proceedings of the CSB 2007 Confer-ence, page 97 Imperial College Press.

[23] Coatney, M and Parthasarathy, S (2005a) MotifMiner: Efficient

discov-ery of common substructures in biochemical molecules Knowledge and Information Systems, 7(2):202–223.

[24] Coatney, M and Parthasarathy, S (2005b) Motifminer: Efficient

discov-ery of common substructures in biochemical molecules Knowl Inf Syst.,

7(2):202–223

[25] Constantinescu, M and Sankoff, D (1995) An efficient algorithm for

supertrees Journal of Classification, 12(1):101–112.

[26] Cooper, C., Harrison, M., Wilkins, M., and Packer, N (2001) GlycoSuit-eDB: a new curated relational database of glycoprotein glycan structures

and their biological sources Nucleic Acids Research, 29(1):332.

[27] Dhillon, I., Guan, Y., and Kulis, B (2005) A fast kernel-based multilevel

algorithm for graph clustering Proceedings of the 11th ACM SIGKDD,

pages 629–634

[28] Dongen, S (2000) Graph clustering by flow simulation PhD thesis,

PhD Thesis, University of Utrecht, The Netherlands

[29] Durocher, D., Taylor, I., Sarbassova, D., Haire, L., Westcott, S., Jack-son, S., Smerdon, S., and Yaffe, M (2000) The molecular basis of FHA domain: phosphopeptide binding specificity and implications for

phospho-dependent signaling mechanisms Molecular Cell, 6(5):1169–1182.

[30] Eisen, M., Spellman, P., Brown, P., and Botstein, D (1998) Cluster

anal-ysis and display of genome-wide expression patterns Proceedings of the National Academy of Sciences, 95(25):14863–14868.

[31] Farach, M and Thorup, M (1994) Fast comparison of evolutionary trees

In Proceedings of the fifth annual ACM-SIAM symposium on Discrete al-gorithms, pages 481–488 Society for Industrial and Applied Mathematics

Philadelphia, PA, USA

[32] Fitch, W (1971) Toward defining the course of evolution: minimum

change for a specific tree topology Systematic zoology, 20(4):406–416.

Trang 5

[33] F -urtig, B., Richter, C., Wohnert, J., and Schwalbe, H (2003) NMR

spec-troscopy of RNA ChemBioChem, 4(10):936–962.

[34] Gan, H., Pasquali, S., and Schlick, T (2003) Exploring the repertoire of RNA secondary motifs using graph theory; implications for RNA design

Nucleic acids research, 31(11):2926.

[35] Gardner, P and Giegerich, R (2004) A comprehensive comparison of

comparative RNA structure prediction approaches BMC bioinformatics,

5(1):140

[36] Gordon, A (1979) A measure of the agreement between rankings

Biometrika, 66(1):7–15.

[37] Gordon, A (1986) Consensus supertrees: the synthesis of rooted trees

containing overlapping sets of labeled leaves Journal of Classification,

3(2):335–348

[38] Gouda, K and Zaki, M (2001) Efficiently mining maximal frequent

itemsets In Proceedings of the 2001 IEEE International Conference on Data Mining, pages 163–170.

[39] Grochow, J and Kellis, M (2007) Network motif discovery using

sub-graph enumeration and symmetry-breaking Lecture Notes in Computer Science, 4453:92.

[40] Guignon, V., Chauve, C., and Hamel, S (2005) An edit distance between

RNA stem-loops Lecture notes in computer science, 3772:333.

[41] Gupta, A and Nishimura, N (1998) Finding largest subtrees and

small-est supertrees Algorithmica, 21(2):183–210.

[42] Hadzic, F., Dillon, T., Sidhu, A., Chang, E., and Tan, H (2006) Mining

substructures in protein data In IEEE ICDM 2006 Workshop on Data Mining in Bioinformatics (DMB 2006), pages 18–22.

[43] Hartuv, E and Shamir, R (2000) A clustering algorithm based on graph

connectivity Information processing letters, 76(4-6):175–181.

[44] Hashimoto, K., Aoki-Kinoshita, K., Ueda, N., Kanehisa, M., and Mamit-suka, H (2006a) A new efficient probabilistic model for mining labeled

ordered trees In Proceedings of the 12th ACM SIGKDD international conference on Knowledge discovery and data mining, pages 177–186.

[45] Hashimoto, K., Goto, S., Kawano, S., Aoki-Kinoshita, K., Ueda, N., Hamajima, M., Kawasaki, T., and Kanehisa, M (2006b) KEGG as a

gly-come informatics resource Glycobiology, 16(5):63–70.

[46] Hashimoto, K., Takigawa, I., Shiga, M., Kanehisa, M., and Mamitsuka,

H (2008) Mining significant tree patterns in carbohydrate sugar chains

Bioinformatics, 24(16):i167.

Trang 6

[47] Henikoff, S and Henikoff, J (1992) Amino acid substitution matrices

from protein blocks Proceedings of the National Academy of Sciences,

89(22):10915–10919

[48] Herget, S., Ranzinger, R., Maass, K., and Lieth, C (2008) GlycoCT:

a unifying sequence format for carbohydrates Carbohydrate Research,

343(12):2162–2171

[49] Hizukuri, Y., Yamanishi, Y., Nakamura, O., Yagi, F., Goto, S., and Kane-hisa, M (2005) Extraction of leukemia specific glycan motifs in humans

by computational glycomics Carbohydrate research, 340(14):2270–2278.

[50] H -ochsmann, M., Voss, B., and Giegerich, R (2004) Pure multiple RNA secondary structure alignments: a progressive profile approach

IEEE/ACM Transactions on Computational Biology and Bioinformatics (TCBB), 1(1):53–62.

[51] Holder, L., Cook, D., and Djoko, S (1994) Substructure discovery in the

subdue system In Proc of the AAAI Workshop on Knowledge Discovery

in Databases, pages 169–180.

[52] Horvath, S and Dong, J (2008) Geometric interpretation of gene

coex-pression network analysis PLoS Computational Biology, 4(8).

[53] Hu, H., Yan, X., Huang, Y., Han, J., and Zhou, X (2005) Mining co-herent dense subgraphs across massive biological networks for functional

discovery Bioinformatics, 21(1):213–221.

[54] Huan, J., Wang, W., Prins, J., and Yang, J (2004) Spin: mining

maxi-mal frequent subgraphs from graph databases In Proceedings of the tenth ACM SIGKDD international conference on Knowledge discovery and data mining, pages 581–586 ACM New York, NY, USA.

[55] Huang, Y., Li, H., Hu, H., Yan, X., Waterman, M., Huang, H., and Zhou, X (2007) Systematic discovery of functional modules and

context-specific functional annotation of human genome Bioinformatics,

23(13):i222

[56] Jiang, T., Lawler, E., and Wang, L (1994) Aligning sequences via an

evolutionary tree: complexity and approximation In Proceedings of the twenty-sixth annual ACM symposium on Theory of computing, pages 760–

769 ACM New York, NY, USA

[57] Jiang, T., Lin, G., Ma, B., and Zhang, K (2002) A general edit distance

between RNA structures Journal of Computational Biology, 9(2):371–

388

[58] Jiang, T., Wang, L., and Zhang, K (1995) Alignment of trees: an

alter-native to tree edit Theoretical Computer Science, 143(1):137–148.

[59] Jin, R., Wang, C., Polshakov, D., Parthasarathy, S., and Agrawal, G (2005) Discovering frequent topological structures from graph datasets

Trang 7

In Proceedings of the eleventh ACM SIGKDD international conference on Knowledge discovery in data mining, pages 606–611 ACM New York,

NY, USA

[60] Karypis, G and Kumar, V (1999) A fast and high quality multilevel

scheme for partitioning irregular graphs SIAM Journal on Scientific Com-puting, 20(1):359.

[61] Kashtan, N., Itzkovitz, S., Milo, R., and Alon, U (2004) Efficient sam-pling algorithm for estimating subgraph concentrations and detecting

net-work motifs Bioinformatics, 20(11):1746–1758.

[62] Kawano, S., Hashimoto, K., Miyama, T., Goto, S., and Kanehisa, M (2005) Prediction of glycan structures from gene expression data based

on glycosyltransferase reactions Bioinformatics, 21(21):3976–3982.

[63] Keselman, D and Amir, A (1994) Maximum agreement subtree in a

set of evolutionary trees-metrics and efficient algorithms In Annual Sym-posium on Foundations of Computer Science, volume 35, pages 758–758.

IEEE Computer Society Press

[64] Khanna, S., Motwani, R., and Yao, F (1995) Approximation algorithms for the largest common subtree problem

[65] Kohonen, T (1995) Self-organizing maps Springer, Berlin.

[66] Koyuturk, M., Grama, A., and Szpankowski, W (2004a) An efficient

algorithm for detecting frequent subgraphs in biological networks Bioin-formatics, 20(90001).

[67] Koyuturk, M., Szpankowski, W., and Grama, A (2004b) Bicluster-ing gene-feature matrices for statistically significant dense patterns In

2004 IEEE Computational Systems Bioinformatics Conference, 2004 CSB

2004 Proceedings, pages 480–484.

[68] Kuboyama, T., Hirata, K., Aoki-Kinoshita, K., Kashima, H., and Yasuda,

H (2006) A gram distribution kernel applied to glycan classification and

motif extraction Genome Informatics Series, 17(2):25.

[69] Le, S., Owens, J., Nussinov, R., Chen, J., Shapiro, B., and Maizel, J (1989) RNA secondary structures: comparison and determination of

fre-quently recurring substructures by consensus Bioinformatics, 5(3):205–

210

[70] Lee, H., Hsu, A., Sajdak, J., Qin, J., and Pavlidis, P (2004)

Coexpres-sion analysis of human genes across many microarray data sets Genome Research, 14(6):1085–1094.

[71] Lemmens, K., Dhollander, T., De Bie, T., Monsieurs, P., Engelen, K., Smets, B., Winderickx, J., De Moor, B., and Marchal, K (2006) Infer-ring transcriptional modules from ChIP-chip, motif and microarray data

Genome biology, 7(5):R37.

Trang 8

[72] Li, H., Marsolo, K., Parthasarathy, S., and Polshakov, D (2004) A new

approach to protein structure mining and alignment Proceedings of the ACM SIGKDD Workshop on Data Mining and Bioinformatics (BIOKDD),

pages 1–10

[73] Li, X., Foo, C., and Ng, S (2007) Discovering protein complexes in

dense reliable neighborhoods of protein interaction networks In Computa-tional Systems Bioinformatics: Proceedings of the CSB 2007 Conference,

page 157 Imperial College Press

[74] Liu, N and Wang, T (2006) A method for rapid similarity analysis of

RNA secondary structures BMC bioinformatics, 7(1):493.

[75] Loß, A., Bunsmann, P., Bohne, A., Loß, A., Schwarzer, E., Lang, E., and

Von der Lieth, C (2002) SWEET-DB: an attempt to create annotated data

collections for carbohydrates Nucleic acids research, 30(1):405–408.

[76] MacQueen, J (1967) Some methods for classification and analysis of multivariate observations Proceedings of 5th Berkeley Symposium on Mathematical Statistics and Probability, pages 281–297.

[77] Margush, T and McMorris, F (1981) Consensusn-trees Bulletin of Mathematical Biology, 43(2):239–244.

[78] Milo, R., Shen-Orr, S., Itzkovitz, S., Kashtan, N., Chklovskii, D., and Alon, U (2002) Network motifs: simple building blocks of complex

net-works Science, 298(5594):824–827.

[79] Mitchell, J., Cheng, J., and Collins, K (1999) A box H/ACA small

nu-cleolar RNA-like domain at the human telomerase RNA 3’end Molecular and cellular biology, 19(1):567–576.

[80] Newman, M and Girvan, M (2004) Finding and evaluating community

structure in networks Physical Review E, 69:026113.

[81] Ohtsubo, K and Marth, J (2006) Glycosylation in cellular mechanisms

of health and disease Cell, 126(5):855–867.

[82] Onoa, B and Tinoco, I (2004) RNA folding and unfolding Current Opinion in Structural Biology, 14(3):374–379.

[83] Packer, N., von der Lieth, C., Aoki-Kinoshita, K., Lebrilla, C., Paulson, J., Raman, R., Rudd, P., Sasisekharan, R., Taniguchi, N., and York, W (2008) Frontiers in glycomics: Bioinformatics and biomarkers in disease

Proteomics, 8(1).

[84] Pizzuti, C and Rombo, S (2008) Multi-functional protein clustering in

ppi networks In Bioinformatics Research and Development, pages 318–

330

[85] Ragan, M (1992) Phylogenetic inference based on matrix representation

of trees Molecular Phylogenetics and Evolution, 1(1):53.

Trang 9

[86] Ravasz, E., Somera, A., Mongru, D., Oltvai, Z., and Barabasi, A (2002) Hierarchical organization of modularity in metabolic networks

[87] Sahoo, S., Thomas, C., Sheth, A., Henson, C., and York, W (2005) GLYDE-an expressive XML standard for the representation of glycan

structure Carbohydrate research, 340(18):2802–2807.

[88] Sanderson, M., Purvis, A., and Henze, C (1998) Phylogenetic

su-pertrees: assembling the trees of life Trends in Ecology & Evolution,

13(3):105–109

[89] Satuluri, V and Parthasarathy, S (2009) Scalable Graph Clustering using

Stochastic Flows: Applications to Community Discovery In Proceedings

of the 15th ACM SIGKDD international conference on Knowledge discov-ery and data mining, pages 737–746.

[90] Sch-olkopf, B and Smola, A (2002) Learning with kernels: Support vector machines, regularization, optimization, and beyond MIT press.

[91] Segal, E., Shapira, M., Regev, A., Pe’er, D., Botstein, D., Koller, D., and Friedman, N (2003) Module networks: identifying regulatory modules

and their condition-specific regulators from gene expression data Nature genetics, 34(2):166–176.

[92] Selkow, S (1977) The tree-to-tree editing problem Information pro-cessing letters, 6(6):184–186.

[93] Shapiro, B and Zhang, K (1990) Comparing multiple RNA secondary

structures using tree comparisons Bioinformatics, 6(4):309–318.

[94] Sharan, R and Shamir, R (2000) CLICK: A clustering algorithm with applications to gene expression analysis 8:307–316

[95] Shasha, D., Wang, J., and Zhang, S (2004) Unordered tree mining with

applications to phylogeny In in Proceedings of International Conference

on Data Engineering, pages 708–719.

[96] Shi, J and Malik, J (2000) Normalized cuts and image

segmenta-tion IEEE Transactions on pattern analysis and machine intelligence,

22(8):888–905

[97] Shih, F and Mitchell, O (1989) Threshold decomposition of gray-scale

morphology into binarymorphology IEEE Transactions on Pattern Anal-ysis and Machine Intelligence, 11(1):31–42.

[98] Smith, T and Waterman, M (1981) Identification of common molecular

subsequences J Mol Bwl, 147:195–197.

[99] Sneath, S (1973) Hierarchical clustering

[100] Stark, C., Breitkreutz, B., Reguly, T., Boucher, L., Breitkreutz, A., and Tyers, M (2006) BioGRID: a general repository for interaction datasets

Nucleic acids research, 34(Database Issue):D535.

Trang 10

[101] Stockham, C., Wang, L., and Warnow, T (2002) Statistically based postprocessing of phylogenetic analysis by clustering Bioinformatics,

18(3):465–469

[102] Stuart, J., Segal, E., Koller, D., and Kim, S (2003a) A gene-coexpression network for global discovery of conserved genetic modules

Science, 302(5643):249–255.

[103] Stuart, J., Segal, E., Koller, D., and Kim, S (2003b) A gene-coexpression network for global discovery of conserved genetic modules

Science, 302(5643):249–255.

[104] Tai, K (1979) The tree-to-tree correction problem Journal of the Association for Computing Machm c ⃝ ry, 26(3):422–433.

[105] Tanay, A., Sharan, R., Kupiec, M., and Shamir, R (2004) Revealing modularity and organization in the yeast molecular network by integrated

analysis of highly heterogeneous genomewide data Proceedings of the National Academy of Sciences, 101(9):2981–2986.

[106] Tanay, A., Sharan, R., and Shamir, R (2002) Discovering statistically

significant biclusters in gene expression data Bioinformatics, 18(Suppl

1):S136–S144

[107] Tinoco, I and Bustamante, C (1999) How RNA folds Journal of molecular biology, 293(2):271–281.

[108] Ueda, N., Aoki, K., and Mamitsuka, H (2004) A general probabilistic

framework for mining labeled ordered trees In Proceedings of the Fourth SIAM International Conference on Data Mining, pages 357–368.

[109] Ueda, N., Aoki-Kinoshita, K., Yamaguchi, A., Akutsu, T., and Mamit-suka, H (2005) A probabilistic model for mining labeled ordered trees:

Capturing patterns in carbohydrate sugar chains IEEE Transactions on Knowledge and Data Engineering, 17(8):1051–1064.

[110] Valiente, G (2002) Algorithms on trees and graphs Springer.

[111] Wang, C and Parthasarathy, S (2004) Parallel algorithms for mining

frequent structural motifs in scientific data In Proceedings of the 18th annual international conference on Supercomputing, pages 31–40 ACM

New York, NY, USA

[112] Wang, L., Jiang, T., and Gusfield, D (1997) A more efficient

approxi-mation scheme for tree alignment In Proceedings of the first annual inter-national conference on Computational molecular biology, pages 310–319.

ACM New York, NY, USA

[113] Wang, L., Jiang, T., and Lawler, E (1996) Approximation algorithms

for tree alignment with a given phylogeny Algorithmica, 16(3):302–315.

[114] Yamanishi, Y., Bach, F., and Vert, J (2007) Glycan classification with

tree kernels Bioinformatics, 23(10):1211.

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