1729 search results - page 23 / 346 » On Bounds for the k-Partitioning of Graphs |
JCT
1998
14 years 9 months ago
1998
We show that any k-regular bipartite graph with 2n vertices has at least ((k−1)k−1 kk−2 )n perfect matchings (1-factors). Equivalently, this is a lower bound on the permanent...
ENDM
2002
14 years 9 months ago
2002
Given a positive integer n and a family F of graphs, let R(n, F) denote the maximum number of colors in an edge-coloring of Kn such that no subgraph of Kn belonging to F has disti...
STACS
2009
Springer
15 years 4 months ago
2009
Springer
We present the first polynomial-time approximation schemes (PTASes) for the following subset-connectivity problems in edge-weighted graphs of bounded genus: Steiner tree, low-conn...
ISAAC
2005
Springer
15 years 3 months ago
2005
Springer
Abstract. In this paper, the space requirements for the OBDD representation of certain graph classes, specifically cographs, several types of graphs with few P4s, unit interval gr...
EJC
2010
14 years 10 months ago
2010
We prove that for any fixed r 2, the tree-width of graphs not containing Kr as a topological minor (resp. as a subgraph) is bounded by a linear (resp. polynomial) function of the...