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IWPEC
2010
Springer
13 years 7 months ago
On the Grundy Number of a Graph
The Grundy number of a graph G, denoted by (G), is the largest k such that G has a greedy k-colouring, that is a colouring with k colours obtained by applying the greedy algorithm ...
Frédéric Havet, Leonardo Sampaio
COCOON
2007
Springer
14 years 4 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»
13 years 9 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»
13 years 9 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...
CORR
2011
Springer
174views Education» more  CORR 2011»
13 years 4 months ago
Lower bounds on the obstacle number of graphs
Given a graph G, an obstacle representation of G is a set of points in the plane representing the vertices of G, together with a set of connected obstacles such that two vertices ...
Padmini Mukkamala, János Pach, Döm&oum...