17 search results - page 1 / 4 » Degree Powers in Graphs with Forbidden Subgraphs |
COMBINATORICS
2004
13 years 7 months ago
2004
For every real p > 0 and simple graph G, set f (p, G) = uV (G) dp (u) , and let (r, p, n) be the maximum of f (p, G) taken over all Kr+1-free graphs G of order n. We prove tha...
JGT
2008
13 years 7 months ago
2008
: Given a set F of graphs, a graph G is F-free if G does not contain any member of F as an induced subgraph. We say that F is a degree-sequence-forcing set if, for each graph G in ...
JGT
2010
13 years 5 months ago
2010
In 1996, Ota and Tokuda showed that a star-free graph with sufficiently high minimum degree admits a 2-factor. More recently it was shown that the minimum degree condition can be ...
MFCS
2007
Springer
14 years 1 months ago
2007
Springer
We show that every NP problem is polynomially equivalent to a simple combinatorial problem: the membership problem for a special class of digraphs. These classes are defined by me...
IWOCA
2009
Springer
14 years 1 months ago
2009
Springer
: We present an improved upper bound of O(d1+ 1 m−1 ) for the (2, F)-subgraph chromatic number χ2,F (G) of any graph G of maximum degree d. Here, m denotes the minimum number of...