GRAPH THEORY - PART 3 docx
... the condition (3. 1). Note that the condition (3. 1) is easily checkable for any given graph. 3. 3 Matchings 42 We omit the proof of the next theorem. Theorem 3. 13. For bipartite graphs , a stable ... the condition (3. 2). We conclude that . Corollary 3. 1 (FROBENIUS (1917)). If is a -regular bipartite graph with , then has a perfect matching. Proof. Let be -regular -bipartite graph....
Ngày tải lên: 13/08/2014, 13:21
GRAPH THEORY - PART 5 docx
... order is a well-quasi-order on graphs. In particular, in any infinite family of graphs, one of the graphs is a (proper) minor of another. Each property of graphs defines a family of graphs, namely, ... SEYMOUR (198 3- 2 000) on graph minors is (one of) the deepest results of graph theory. The proof goes beyond these lectures. Indeed, the proof of Theorem 5. 13 is around 500 pages long. a...
Ngày tải lên: 13/08/2014, 13:21
Ngày tải lên: 14/12/2013, 13:15
Tài liệu Master toefl vocabulary part 3 docx
... Definition metamorphosed meh-tah-mor-fozd changed transition tran-si-shun development or change phenomenon fe-nahm-ih-nan event, occurrence illustrious ih-lus-tree-us distinguished, celebrated eminent eh-min-ent famous A ... sold since 1 935 . Word Pronunciation Definition economic eek-a-nom-ik having to do with money initially in-ih-shall-ee at first elaborate i-lab-or-it complex desperation...
Ngày tải lên: 14/12/2013, 13:15
Tài liệu Nâng Cấp Ảnh part 3 docx
... bức ảnh cô bé này: Haro Vào Image->Mode->Labcolor. Ctrl+j để nhân đôi layer. Vào Image-> Apply image thông số tiếp tục chọn Image->Adjustments-> Color Balance thông số: và: ... thông số: và: song đâu đó ta lại vào Image->Mode->RGB color. Tiếp tục nhấn ctrl+J để nhân đôi layer: vào Image->Adjustments->Curves thông số:
Ngày tải lên: 15/12/2013, 02:15