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COMBINATORICA
1998
94views more  COMBINATORICA 1998»
13 years 11 months ago
The Shannon Capacity of a Union
For an undirected graph G = (V, E), let Gn denote the graph whose vertex set is V n in which two distinct vertices (u1, u2, . . . , un) and (v1, v2, . . . , vn) are adjacent iff ...
Noga Alon
JGAA
2006
127views more  JGAA 2006»
13 years 11 months ago
A New Algorithm for Finding Minimal Cycle-Breaking Sets of Turns in a Graph
We consider the problem of constructing a minimal cycle-breaking set of turns for a given undirected graph. This problem is important for deadlock-free wormhole routing in compute...
Lev B. Levitin, Mark G. Karpovsky, Mehmet Mustafa,...
ENDM
2006
119views more  ENDM 2006»
13 years 12 months ago
The incidence game chromatic number
We introduce the incidence game chromatic number which unifies the ideas of game chromatic number and incidence coloring number of an undirected graph. For kdegenerate graphs with...
Stephan Dominique Andres
DM
2008
96views more  DM 2008»
13 years 12 months ago
Generating 3-vertex connected spanning subgraphs
In this paper we present an algorithm to generate all minimal 3-vertex connected spanning subgraphs of an undirected graph with n vertices and m edges in incremental polynomial tim...
Endre Boros, Konrad Borys, Vladimir Gurvich, G&aac...
EOR
2010
133views more  EOR 2010»
13 years 12 months ago
A memetic algorithm for graph coloring
Given an undirected graph G = (V, E) with a set V of vertices and a set E of edges, the graph coloring problem consists of partitioning all vertices into k independent sets and th...
Zhipeng Lü, Jin-Kao Hao
DAM
2008
109views more  DAM 2008»
13 years 12 months ago
Minimal comparability completions of arbitrary graphs
A transitive orientation of an undirected graph is an assignment of directions to its edges so that these directed edges represent a transitive relation between the vertices of th...
Pinar Heggernes, Federico Mancini, Charis Papadopo...
CORR
2010
Springer
81views Education» more  CORR 2010»
13 years 12 months ago
On the size of identifying codes in triangle-free graphs
In an undirected graph G = (V, E), a subset C V such that C is a dominating set of G, and each vertex in V is dominated by a distinct subset of vertices from C, is called an iden...
Florent Foucaud, Ralf Klasing, Adrian Kosowski, An...
CORR
2010
Springer
97views Education» more  CORR 2010»
13 years 12 months ago
A Linear-time Algorithm for Sparsification of Unweighted Graphs
Given an undirected graph G and an error parameter > 0, the graph sparsification problem requires sampling edges in G and giving the sampled edges appropriate weights to obtai...
Ramesh Hariharan, Debmalya Panigrahi
CORR
2010
Springer
135views Education» more  CORR 2010»
13 years 12 months ago
Approximate Shortest Paths Avoiding a Failed Vertex: Optimal Size Data Structures for Unweighted Graph
Let G = (V, E) be any undirected graph on V vertices and E edges. A path P between any two vertices u, v V is said to be t-approximate shortest path if its length is at most t tim...
Neelesh Khanna Surender Baswana
ALGORITHMICA
2010
112views more  ALGORITHMICA 2010»
13 years 12 months ago
Approximation Algorithms for Treewidth
Abstract. This paper presents algorithms whose input is an undirected graph, and whose output is a tree decomposition of width that approximates the optimal, the treewidth of that ...
Eyal Amir