265 search results - page 11 / 53 » The independence number in graphs of maximum degree three |
DAM
1999
14 years 9 months ago
1999
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...
COMBINATORICA
2006
14 years 9 months ago
2006
We introduce and discuss generalizations of the problem of independent transversals. Given a graph property R, we investigate whether any graph of maximum degree at most d with a ...
CORR
2010
Springer
14 years 9 months ago
2010
Springer
Let mad(G) denote the maximum average degree (over all subgraphs) of G and let i(G) denote the injective chromatic number of G. We prove that if 4 and mad(G) < 14 5 , then i(G...
SODA
2010
ACM
15 years 7 months ago
2010
ACM
The crossing number of a graph is the least number of pairwise edge crossings in a drawing of the graph in the plane. We provide an O(n log n) time constant factor approximation al...
JGT
2006
14 years 9 months ago
2006
We find the maximum number of maximal independent sets in two families of graphs. The first family consists of all graphs with n vertices and at most r cycles. The second family i...