388 search results - page 8 / 78 » On the Number of Cycles in Planar Graphs |
CORR
2007
Springer
13 years 7 months ago
2007
Springer
A vertex k-labeling of graph G is distinguishing if the only automorphism that preserves the labels of G is the identity map. The distinguishing number of G, D(G), is the smallest...
JCT
2008
13 years 7 months ago
2008
This paper introduces a new strategy for playing the marking game on graphs. Using this strategy, we prove that if G is a planar graph, then the game colouring number of G, and he...
DAM
2008
13 years 7 months ago
2008
For each constant k, we present a linear time algorithm that, given a planar graph G, either finds a minimum odd cycle vertex transversal in G or guarantees that there is no transv...
DM
2007
13 years 7 months ago
2007
: For two given graphs G1 and G2, the Ramsey number R(G1, G2) is the smallest integer n such that for any graph G of order n, either G contains G1 or the complement of G contains G...
DM
2008
13 years 7 months ago
2008
This paper discusses the game colouring number of partial k-trees and planar graphs. Let colg(PT k) and colg(P) denote the maximum game colouring number of partial k trees and the...