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» The vertex-cover polynomial of a graph
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DM
2008
96views more  DM 2008»
14 years 9 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...
ESA
2005
Springer
162views Algorithms» more  ESA 2005»
15 years 3 months ago
Minimal Interval Completions
We study the problem of adding edges to an arbitrary graph so that the resulting graph is an interval graph. Our objective is to add an inclusion minimal set of edges, which means ...
Pinar Heggernes, Karol Suchan, Ioan Todinca, Yngve...
CORR
2007
Springer
130views Education» more  CORR 2007»
14 years 9 months ago
On Computing the Distinguishing Numbers of Planar Graphs and Beyond: a Counting Approach
A vertex k-labeling of graph G is distinguishing if the only automorphism that preserves the labels of G is the identity map. The distinguishing number of G, D(G), is the smallest...
Vikraman Arvind, Christine T. Cheng, Nikhil R. Dev...
ICALP
2010
Springer
14 years 11 months ago
Sparse Reliable Graph Backbones
Given a connected graph G and a failure probability pe for each edge e in G, the reliability of G is the probability that G remains connected when each edge e is removed independe...
Shiri Chechik, Yuval Emek, Boaz Patt-Shamir, David...
CORR
2010
Springer
136views Education» more  CORR 2010»
14 years 7 months ago
Schaefer's theorem for graphs
Schaefer's theorem is a complexity classification result for so-called Boolean constraint satisfaction problems: it states that every Boolean constraint satisfaction problem ...
Manuel Bodirsky, Michael Pinsker