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» On the Grundy Number of a Graph
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JGT
2006
114views more  JGT 2006»
14 years 11 months ago
The chromatic covering number of a graph
Following [1], we investigate the problem of covering a graph G with induced subgraphs G1, . . . , Gk of possibly smaller chromatic number, but such that for every vertex u of G, ...
Reza Naserasr, Claude Tardif
COCOON
2007
Springer
15 years 6 months ago
On the Number of Cycles in Planar Graphs
We investigate the maximum number of simple cycles and the maximum number of Hamiltonian cycles in a planar graph G with n vertices. Using the transfer matrix method we construct a...
Kevin Buchin, Christian Knauer, Klaus Kriegel, And...
RSA
2008
125views more  RSA 2008»
14 years 11 months ago
The game chromatic number of random graphs
: Given a graph G and an integer k, two players take turns coloring the vertices of G one by one using k colors so that neighboring vertices get different colors. The first player ...
Tom Bohman, Alan M. Frieze, Benny Sudakov
DM
1998
69views more  DM 1998»
14 years 11 months ago
A study of the total chromatic number of equibipartite graphs
The total chromatic number zt(G) of a graph G is the least number of colors needed to color the vertices and edges of G so that no adjacent vertices or edges receive the same colo...
Bor-Liang Chen, Chun-Kan Cheng, Hung-Lin Fu, Kuo-C...
GD
2007
Springer
15 years 6 months ago
Crossing Number of Graphs with Rotation Systems
We show that computing the crossing number of a graph with a given rotation system is NP-complete. This result leads to a new and much simpler proof of Hlinˇen´y’s result, tha...
Michael J. Pelsmajer, Marcus Schaefer, Daniel Stef...