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DM
2006
101views more  DM 2006»
13 years 11 months ago
Collapsible biclaw-free graphs
A graph is called biclaw-free if it has no biclaw as an induced subgraph. In this note, we prove that if G is a connected bipartite biclaw-free graph with (G) 5, then G is collap...
Hong-Jian Lai, Xiangjuan Yao
DM
2006
83views more  DM 2006»
13 years 11 months ago
Language structure of pattern Sturmian words
Pattern Sturmian words introduced by Kamae and Zamboni KZ1, KZ2] are an analogy of Sturmian words for the maximal pattern complexity instead of the block complexity. So far, two k...
Teturo Kamae, Hui Rao, Bo Tan, Yu-Mei Xue
DM
2006
85views more  DM 2006»
13 years 11 months ago
Further analysis of the number of spanning trees in circulant graphs
Let 1 s1 < s2 <
Talip Atajan, Xuerong Yong, Hiroshi Inaba
DM
2006
83views more  DM 2006»
13 years 11 months ago
A note on k-cop, l-robber games on graphs
We give an algorithmic characterisation of finite cop-win digraphs. The case of k > 1 cops and k l 1 robbers is then reduced to the one cop case. Similar characterisations are ...
Gena Hahn, Gary MacGillivray
DM
2006
71views more  DM 2006»
13 years 11 months ago
Homothetic interval orders
We give a characterization of the non-empty binary relations
Bertrand Lemaire, Marc Le Menestrel
DM
2006
54views more  DM 2006»
13 years 11 months ago
Small surface trades in triangular embeddings
G. K. Bennett, Mike J. Grannell, Terry S. Griggs, ...
DM
2006
70views more  DM 2006»
13 years 11 months ago
The carvingwidth of hypercubes
The notion of the carvingwidth of a graph was introduced by Seymour and Thomas [Call routing and the ratcatcher, Combinatorica
L. Sunil Chandran, Telikepalli Kavitha
DM
2006
81views more  DM 2006»
13 years 11 months ago
On an adjacency property of almost all tournaments
Let n be a positive integer. A tournament is called n-existentially closed (or n-e.c.) if for every subset S of n vertices and for every subset T of S, there is a vertex x / S whi...
Anthony Bonato, Kathie Cameron
DM
2006
65views more  DM 2006»
13 years 11 months ago
Hex and combinatorics
We explain some analytic methods that can be useful in solving Hex puzzles.
Ryan B. Hayward, Jack van Rijswijck