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» General Partitioning on Random Graphs
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77
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JSAT
2006
73views more  JSAT 2006»
15 years 10 days ago
Impurity: Another Phase Transition of SAT
It is well known that satisfiability of random sets of propositional clauses undergoes phase transition while the clause-to-variable ratio of the sets increases. We introduce anot...
Eliezer L. Lozinskii
122
Voted
RSA
2010
118views more  RSA 2010»
14 years 10 months ago
Weight of a link in a shortest path tree and the Dedekind Eta function
The weight of a randomly chosen link in the shortest path tree on the complete graph with exponential i.i.d. link weights is studied. The corresponding exact probability generatin...
Piet Van Mieghem
103
Voted
IV
2003
IEEE
92views Visualization» more  IV 2003»
15 years 5 months ago
Visualizing Weighted Edges in Graphs
This paper introduces a new edge length heuristic that finds a graph layout where the edge lengths are proportional to the weights on the graph edges. The heuristic can be used in...
Peter Rodgers, Paul Mutton
91
Voted
CORR
2010
Springer
94views Education» more  CORR 2010»
14 years 7 months ago
Partitions and Coverings of Trees by Bounded-Degree Subtrees
This paper addresses the following questions for a given tree T and integer d 2: (1) What is the minimum number of degree-d subtrees that partition E(T)? (2) What is the minimum n...
David R. Wood
SODA
1992
ACM
252views Algorithms» more  SODA 1992»
15 years 1 months ago
A General Approximation Technique for Constrained Forest Problems
We present a general approximation technique for a large class of graph problems. Our technique mostly applies to problems of covering, at minimum cost, the vertices of a graph wit...
Michel X. Goemans, David P. Williamson