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» On the Grundy Number of a Graph
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DAM
1999
105views more  DAM 1999»
14 years 9 months ago
The b-chromatic Number of a Graph
The achromatic number (G) of a graph G = (V, E) is the maximum k such that V has a partition V1, V2, . . . , Vk into independent sets, the union of no pair of which is independent...
Robert W. Irving, David Manlove
EJC
2008
14 years 9 months ago
The distinguishing number of Cartesian products of complete graphs
The distinguishing number D(G) of a graph G is the least integer d such that G has a labeling with d labels that is preserved only by a trivial automorphism. We prove that Cartesi...
Wilfried Imrich, Janja Jerebic, Sandi Klavzar
94
Voted
ENDM
2008
118views more  ENDM 2008»
14 years 9 months ago
Number of Crossing-Free Geometric Graphs vs. Triangulations
We show that there is a constant > 0 such that, for any set P of n 5 points in general position in the plane, a crossing-free geometric graph on P that is chosen uniformly at...
Andreas Razen, Jack Snoeyink, Emo Welzl
SODA
2003
ACM
103views Algorithms» more  SODA 2003»
14 years 11 months ago
On the rectilinear crossing number of complete graphs
We prove a lower bound of 0.3288   n 4¡ for the rectilinear crossing number cr(Kn) of a complete graph on n vertices, or in other words, for the minimum number of convex quadril...
Uli Wagner
TCS
2008
14 years 9 months ago
Setting port numbers for fast graph exploration
We consider the problem of periodic graph exploration by a finite automaton in which an automaton with a constant number of states has to explore all unknown anonymous graphs of a...
David Ilcinkas