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» On the hyperbolicity constant in graphs
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DAM
2008
93views more  DAM 2008»
15 years 6 months ago
Planar graph bipartization in linear time
For each constant k, we present a linear time algorithm that, given a planar graph G, either finds a minimum odd cycle vertex transversal in G or guarantees that there is no transv...
Samuel Fiorini, Nadia Hardy, Bruce A. Reed, Adrian...
SIAMDM
2010
110views more  SIAMDM 2010»
15 years 1 months ago
Embedding Spanning Trees in Random Graphs
We prove that if T is a tree on n vertices with maximum degree and the edge probability p(n) satisfies: np C max{ log n, n } for some constant > 0, then with high probability...
Michael Krivelevich
ISAAC
2004
Springer
121views Algorithms» more  ISAAC 2004»
15 years 11 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...
COMBINATORICA
2011
14 years 6 months ago
On the chromatic number of random geometric graphs
Given independent random points X1, . . . , Xn ∈ Rd with common probability distribution ν, and a positive distance r = r(n) > 0, we construct a random geometric graph Gn wi...
Colin McDiarmid, Tobias Müller
CIAC
1997
Springer
154views Algorithms» more  CIAC 1997»
15 years 10 months ago
Isomorphism for Graphs of Bounded Distance Width
In this paper, we study the Graph Isomorphism problem on graphs of bounded treewidth, bounded degree or bounded bandwidth. Graph Isomorphism can be solved in polynomial time for g...
Koichi Yamazaki, Hans L. Bodlaender, Babette de Fl...