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ISAAC
2004
Springer
121views Algorithms» more  ISAAC 2004»
15 years 10 months ago
Approximate Distance Oracles for Graphs with Dense Clusters
Let G be a graph containing N disjoint t-spanners that are inter-connected with M edges. We present an algorithm that constructs a data structure of size O(M2 + n log n) that answ...
Mattias Andersson, Joachim Gudmundsson, Christos L...
CIAC
2006
Springer
100views Algorithms» more  CIAC 2006»
15 years 8 months ago
Distributed Approximation Algorithms for Planar Graphs
In this paper we construct two distributed algorithms for computing approximations of a largest matching and a minimum dominating set in planar graphs on n vertices. The approximat...
Andrzej Czygrinow, Michal Hanckowiak, Edyta Szyman...
132
Voted
JCT
2007
93views more  JCT 2007»
15 years 4 months ago
The circular chromatic index of graphs of high girth
We show that for each ε > 0 and each integer ∆ ≥ 1, there exists a number g such that for any graph G of maximum degree ∆ and girth at least g, the circular chromatic in...
Tomás Kaiser, Daniel Král, Riste Skr...
100
Voted
JCT
2007
85views more  JCT 2007»
15 years 4 months ago
Separating systems and oriented graphs of diameter two
We prove results on the size of weakly and strongly separating set systems and matrices, and on cross-intersecting systems. As a consequence, we improve on a result of Katona and ...
Béla Bollobás, Alex D. Scott
DAM
2002
90views more  DAM 2002»
15 years 4 months ago
k-Subdomination in graphs
For a positive integer k, a k-subdominating function of a graph G = (V; E) is a function f : V {-1; 1} such that uNG[v] f(u)
Gerard J. Chang, Sheng-Chyang Liaw, Hong-Gwa Yeh