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JGT
2010
84views more  JGT 2010»
14 years 8 months ago
Large classes of infinite k-cop-win graphs
While finite cop-win finite graphs possess a good structural characterization, none is known for infinite cop-win graphs. As evidence that such a characterization might not exis...
Anthony Bonato, Gena Hahn, Claude Tardif
SODA
2004
ACM
93views Algorithms» more  SODA 2004»
14 years 11 months ago
Bipartite roots of graphs
Graph H is a root of graph G if there exists a positive integer k such that x and y are adjacent in G if and only if their distance in H is at most k. Motwani and Sudan [1994] prov...
Lap Chi Lau
IANDC
2008
85views more  IANDC 2008»
14 years 10 months ago
Monotony properties of connected visible graph searching
Search games are attractive for their correspondence with classical width parameters. For instance, the invisible search number (a.k.a. node search number) of a graph is equal to
Pierre Fraigniaud, Nicolas Nisse
ALGORITHMICA
2002
159views more  ALGORITHMICA 2002»
14 years 9 months ago
Algorithmic Aspects of Acyclic Edge Colorings
A proper coloring of the edges of a graph G is called acyclic if there is no 2-colored cycle in G. The acyclic edge chromatic number of G, denoted by a (G), is the least number of...
Noga Alon, Ayal Zaks
GC
2002
Springer
14 years 9 months ago
Ramsey-Type Results for Unions of Comparability Graphs
Given a graph on n vertices which is the union of two comparability graphs on the same vertex set, it always contains a clique or independent set of size n 1 3 . On the other hand...
Adrian Dumitrescu, Géza Tóth