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» The chromatic covering number of a graph
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STOC
2010
ACM
193views Algorithms» more  STOC 2010»
14 years 1 months ago
Maintaining a large matching and a small vertex cover
We consider the problem of maintaining a large matching and a small vertex cover in a dynamically changing graph. Each update to the graph is either an edge deletion or an edge in...
Krzysztof Onak, Ronitt Rubinfeld
ADHOCNOW
2008
Springer
14 years 2 months ago
Local Maximal Matching and Local 2-Approximation for Vertex Cover in UDGs
We present 1 − approximation algorithms for the maximum matching problem in location aware unit disc graphs and in growth-bounded graphs. The algorithm for unit disk graph is loc...
Andreas Wiese, Evangelos Kranakis
DM
2011
249views Education» more  DM 2011»
13 years 3 months ago
Acyclic vertex coloring of graphs of maximum degree 5
An acyclic vertex coloring of a graph is a proper vertex coloring such that there are no bichromatic cycles.  The acyclic chromatic number of G, denoted ...
Kishore Yadav, Satish Varagani, Kishore Kothapalli...
DAM
2010
111views more  DAM 2010»
13 years 8 months ago
Covering line graphs with equivalence relations
An equivalence graph is a disjoint union of cliques, and the equivalence number eq(G) of a graph G is the minimum number of equivalence subgraphs needed to cover the edges of G. W...
Louis Esperet, John Gimbel, Andrew King
DAM
2010
103views more  DAM 2010»
13 years 8 months ago
Dynamic list coloring of bipartite graphs
A dynamic coloring of a graph is a proper coloring of its vertices such that every vertex of degree more than one has at least two neighbors with distinct colors. The least number...
Louis Esperet