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» On the hyperbolicity constant in graphs
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WAW
2004
Springer
96views Algorithms» more  WAW 2004»
15 years 11 months ago
A Geometric Preferential Attachment Model of Networks
We study a random graph Gn that combines certain aspects of geometric random graphs and preferential attachment graphs. The vertices of Gn are n sequentially generated points x1, ...
Abraham Flaxman, Alan M. Frieze, Juan Vera
ICALP
1995
Springer
15 years 9 months ago
Parallel Algorithms with Optimal Speedup for Bounded Treewidth
We describe the rst parallel algorithm with optimal speedup for constructing minimum-width tree decompositions of graphs of bounded treewidth. On n-vertex input graphs, the algori...
Hans L. Bodlaender, Torben Hagerup
GC
2008
Springer
15 years 6 months ago
Almost Given Length Cycles in Digraphs
For a directed graph G without loops or parallel edges, let (G) denote the size of the smallest feedback arc set, i.e., the smallest subset X E(G) such that G \ X has no directed...
Raphael Yuster
SODA
1993
ACM
94views Algorithms» more  SODA 1993»
15 years 7 months ago
Analysis of a Simple Greedy Matching Algorithm on Random Cubic Graphs
We consider the performance of a simple greedy matching algorithm MINGREEDY when applied to random cubic graphs. We show that if λn is the expected number of vertices not matched...
Alan M. Frieze, A. J. Radcliffe, Stephen Suen
CORR
2008
Springer
100views Education» more  CORR 2008»
15 years 6 months ago
A note on regular Ramsey graphs
We prove that there is an absolute constant C > 0 so that for every natural n there exists a trianglefree regular graph with no independent set of size at least C n log n.
Noga Alon, Sonny Ben-Shimon, Michael Krivelevich