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» A Note on Graph Pebbling
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COMBINATORICS
2000
88views more  COMBINATORICS 2000»
13 years 7 months ago
Note on Sparse Random Graphs and Cover Graphs
It is shown in this note that with high probability it is enough to destroy all triangles in order to get a cover graph from a random graph Gn,p with p log n/n for any constant ...
Tom Bohman, Alan M. Frieze, Miklós Ruszink&...
ALGORITHMICA
2010
147views more  ALGORITHMICA 2010»
13 years 7 months ago
Note on the Structure of Kruskal's Algorithm
We study the merging process when Kruskal's algorithm is run with random graphs as inputs. Our aim is to analyze this process when the underlying graph is the complete graph ...
Nicolas Broutin, Luc Devroye, Erin McLeish
COMBINATORICS
1998
79views more  COMBINATORICS 1998»
13 years 7 months ago
A Note on Constructing Large Cayley Graphs of Given Degree and Diameter by Voltage Assignments
Voltage graphs are a powerful tool for constructing large graphs (called lifts) with prescribed properties as covering spaces of small base graphs. This makes them suitable for ap...
Ljiljana Brankovic, Mirka Miller, Ján Plesn...
IPL
2007
94views more  IPL 2007»
13 years 7 months ago
A note on the Hadwiger number of circular arc graphs
Abstract. The intention of this note is to motivate the researchers to study Hadwiger’s conjecture for circular arc graphs. Let η(G) denote the largest clique minor of a graph G...
N. S. Narayanaswamy, Naveen Belkale, L. Sunil Chan...
ECCC
2000
179views more  ECCC 2000»
13 years 7 months ago
A Note on Approximating MAX-BISECTION on Regular Graphs
We design a 0:795 approximation algorithm for the Max-Bisection problem restricted to regular graphs. In the case of three regular graphs our results imply an approximation ratio ...
Uriel Feige, Marek Karpinski, Michael Langberg