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» Minimally non-Pfaffian graphs
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COMPGEOM
2005
ACM
15 years 8 months ago
Finding the best shortcut in a geometric network
Given a Euclidean graph G in Rd with n vertices and m edges we consider the problem of adding a shortcut such that the stretch factor of the resulting graph is minimized. Currentl...
Mohammad Farshi, Panos Giannopoulos, Joachim Gudmu...
SIROCCO
2001
15 years 7 months ago
Cycle Covering
This paper considers the design of a survivable WDM network based on covering the initial network with sub-networks, which are protected independently from each other. We focus on...
Jean-Claude Bermond, Lilian Chacon, David Coudert,...
DM
2008
55views more  DM 2008»
15 years 6 months ago
Improved pebbling bounds
Consider a configuration of pebbles distributed on the vertices of a connected graph of order n. A pebbling step consists of removing two pebbles from a given vertex and placing o...
Melody Chan, Anant P. Godbole
EOR
2006
110views more  EOR 2006»
15 years 6 months ago
A constructive algorithm for realizing a distance matrix
The natural metric of a weighted graph is the length of the shortest paths between all pairs of vertices. The investigated problem consists in a representation of a given metric b...
Sacha C. Varone
JCT
2006
73views more  JCT 2006»
15 years 6 months ago
Colouring lines in projective space
Let V be a vector space of dimension v over a field of order q. The q-Kneser graph has the kdimensional subspaces of V as its vertices, where two subspaces and are adjacent if and...
Ameera Chowdhury, Chris D. Godsil, Gordon F. Royle