265 search results - page 4 / 53 » The independence number in graphs of maximum degree three |
WEA
2005
Springer
15 years 3 months ago
2005
Springer
This work is motivated by the long-standing open problem of designing a polynomial-time algorithm that with high probability constructs an asymptotically maximum independent set in...
COMBINATORICS
2006
14 years 9 months ago
2006
A set M of edges of a graph G is a matching if no two edges in M are incident to the same vertex. The matching number of G is the maximum cardinality of a matching of G. A set S o...
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COMPGEOM
2004
ACM
15 years 3 months ago
2004
ACM
We prove that the geometric thickness of graphs whose maximum degree is no more than four is two. In our proofs, we present a space and time efficient embedding technique for gra...
JCT
2008
14 years 9 months ago
2008
A 4-graph is odd if its vertex set can be partitioned into two sets so that every edge intersects both parts in an odd number of points. Let b(n) = max n 3 + (n - ) 3 = 1 2 + o...
GC
2007
Springer
14 years 9 months ago
2007
Springer
A clique is a set of pairwise adjacent vertices in a graph. We determine the maximum number of cliques in a graph for the following graph classes: (1) graphs with n vertices and m ...