3211 search results - page 13 / 643 » On the Grundy Number of a Graph |
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...
CPC
2004
13 years 7 months ago
2004
The strong chromatic number, S(G), of an n-vertex graph G is the smallest number k such that after adding kn/k-n isolated vertices to G and considering any partition of the vertic...
COMBINATORICS
2007
13 years 7 months ago
2007
It is shown that the (diagonal) size Ramsey numbers of complete m-partite graphs Km(n) can be bounded from below by cn22(m−1)n, where c is a positive constant. Key words: Size R...
MFCS
2004
Springer
14 years 1 months ago
2004
Springer
It was proved by [Garey and Johnson, 1983] that computing the crossing number of a graph is an NP-hard problem. Their reduction, however, used parallel edges and vertices of very h...
CORR
2007
Springer
13 years 7 months ago
2007
Springer
For a given connected graph G on n vertices and m edges, we prove that its independence number α(G) is at least ((2m+n+2) -((2m+n+2)2 -16n2 )½ )/8. Keywords : independence numbe...