147 search results - page 4 / 30 » The Number of Independent Sets in a Graph with Small Maximum... |
ESA
2006
Springer
13 years 11 months ago
2006
Springer
A coloring is proper if each color class induces connected components of order one (where the order of a graph is its number of vertices). Here we study relaxations of proper two-c...
SPAA
2000
ACM
13 years 11 months ago
2000
ACM
In this paper, we study the design of fault tolerant networks for arrays and meshes by adding redundant nodes and edges. For a target graph G (linear array or mesh in this paper),...
GC
2007
Springer
13 years 7 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 ...
ARSCOM
2004
13 years 7 months ago
2004
The domatic number of a graph G is the maximum number of dominating sets into which the vertex set of G can be partitioned. We show that the domatic number of a random r-regular g...
FOCS
2009
IEEE
14 years 2 months ago
2009
IEEE
—We introduce a new tool for approximation and testing algorithms called partitioning oracles. We develop methods for constructing them for any class of bounded-degree graphs wit...