GRAPH THEORY - PART 6 doc

... 83 trail, 28 transversal, 36 tree, 17 triangle, 71 triangle-free, 51 triangulation, 71 trivial graph, 9 trivial path, 11 2-cell, 76 2-switch, 7 6. 1 Digraphs 87 Consider a multidigraph with for which ... (circles), 68 Kuratowski graph, 61 latin rectangle, 37 latin square, 37 leaf, 7 line segment graph, 69 linked cycles, 77 list chromatic number, 67 list colouring, 67 loop, 4 M...

Ngày tải lên: 13/08/2014, 13:21

... 0 −310−12 6 −10000··· 0 3 −12 19 −15 6 −1000··· 0 − 16 15 20 −15 6 −100··· 0 0 − 16 15 20 −15 6 −10··· 0 . . . . . . . . . 0 ··· 0 − 16 15 20 −15 6 −10 0··· 00− 16 15 20 −15 6 −1 0 ··· 000− 16 15 19 ... outside of a certain region) 18 .6 Backus-Gilbert Method 815 Sample page from NUMERICAL RECIPES IN C: THE ART OF SCIENTIFIC COMPUTING (ISBN 0-5 2 1-4 310 8-5 ) Copyright (C)...

Ngày tải lên: 26/01/2014, 15:20

... Paths and cycles 15 The steps of the algorithm can also be rewritten as a table: 2 - - - - 3 3 3 - - 3 - - - 5 5 4 - 4 4 4 4 The correctness of Dijkstra’s algorithm can verified be as follows. Let be ... Springer-Verlag, 1997. F. HARARY, Graph Theory , Addison-Wesley, 1 969 . D.B. WEST, “Introduction to Graph Theory , Prentice Hall, 19 96. R.J. WILSON, “In...

Ngày tải lên: 13/08/2014, 13:21

... that . Corollary 3.1 (FROBENIUS (1917)). If is a -regular bipartite graph with , then has a perfect matching. Proof. Let be -regular -bipartite graph. By regularity, , and hence . Let . Denote ... Consider the graph on the right. In , for the set of black ver- tices. Therefore does not satisfy the condition of Lemma 3.1, and hence it is not hamiltonian. Interest- ingly this graph is -b...

Ngày tải lên: 13/08/2014, 13:21

... 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, ... planar graphs was proved by APPEL AND HAKEN in 19 76. Theorem 5.7 (4-Colour Theorem). If is a planar graph, then . By the following theorem, each planar graph can be decomposed into two bipar...

Ngày tải lên: 13/08/2014, 13:21

... 2 0 10 − ⋅= α σ t Pr dB 13 .6% 7 .6% 3.8% 1.4% 0.5% 0.1% -* Outage 2 0 30 − ⋅= α σ t Pr dB 2.9% - - - - - - 2 0 10 − ⋅= α σ t Pr dB 62 .9% 63 .1% 63 .4% 63 .5% 63 .6% 63 .7% 63 .7% Over FRF 3 Ergodic ... dB 10.5% 12.8% 14.3% 15.3% 16. 7% 17.5% 17.8% Outage 2 0 30 − ⋅= α σ t Pr dB 21.7% 29.8% 37.8% 43.7% 47.4% 49.5% 49.9% 2 0 10 − ⋅= α σ t Pr dB 1 .6% 1 .6...

Ngày tải lên: 20/06/2014, 04:20

... Adding Mq d -Mq d to the left-hand side and Mu-Mu to the right gives or ë=u-∆u+d, (4.4.44) where the inertia and nonlinear-term model mismatch terms are (4.4.45) (4.4. 46) 4.4 Computed-Torque Control Copyright ... integration purposes. ᭿ Class of Computed-Torque-Like Controllers An entire class of computed-torque-like controllers can be obtained by modifying the computed-torque control l...

Ngày tải lên: 10/08/2014, 02:21

... example in Figure 5.18, the family is called M-Miscellaneous Wide Flange-Column.rfa and the matching type catalog is M-Miscellaneous Wide Flange-Column.txt . The type catalog has to be ... area parameter values to help graphically illus- trate spatial organization. Applying a color fill scheme to a plan view color-codes room properties such as department, name, usage, etc. It’s ....

Ngày tải lên: 10/12/2013, 13:15

Ngày tải lên: 13/12/2013, 19:15

... are almost never stressed , e.g. shopp -ing, doct -or, etc (word stress is underlined). So, if there is a two-syllable word with a suffix, like “teach -er”, you can be almost 100% sure that ... template on p.4 .6. Whilst working on this activity, students should speak the words and phrases – as well as the whole sentences – out loud with their partners. Although this work is partly the...

Ngày tải lên: 13/12/2013, 21:15