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IPL
2006
83views more  IPL 2006»
13 years 7 months ago
The Pair Completion algorithm for the Homogeneous Set Sandwich Problem
A homogeneous set is a non-trivial module of a graph, i.e. a nonempty, non-unitary, proper vertex subset such that all its elements present the same outer neighborhood. Given two ...
Claudson F. Bornstein, Celina M. Herrera de Figuei...
CPC
2010
122views more  CPC 2010»
13 years 7 months ago
The Longest Minimum-Weight Path in a Complete Graph
We consider the minimum-weight path between any pair of nodes of the n-vertex complete graph in which the weights of the edges are i.i.d. exponentially distributed random variable...
Louigi Addario-Berry, Nicolas Broutin, Gábo...
DM
2008
84views more  DM 2008»
13 years 7 months ago
Cyclic hamiltonian cycle systems of the complete graph minus a 1-factor
In this paper, we prove that cyclic hamiltonian cycle systems of the complete graph minus a 1-factor, Kn - I, exist if and only if n 2, 4( mod 8) and n = 2p with p
Heather Jordon, Joy Morris
SIAMDM
2008
122views more  SIAMDM 2008»
13 years 7 months ago
Cycle Systems in the Complete Bipartite Graph Plus a One-Factor
Let Kn,n denote the complete bipartite graph with n vertices in each partite set and Kn,n +I denote Kn,n with a 1-factor added. It is proved in this paper that there exists an m-c...
Liqun Pu, Hao Shen, Jun Ma, San Ling
IPL
2007
74views more  IPL 2007»
13 years 7 months ago
Minimum cycle bases of direct products of complete graphs
This paper presents a construction of a minimum cycle basis for the direct product of two complete graphs on three or more vertices. With the exception of two special cases, such ...
Richard Hammack