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» On the editing distance of graphs
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IPPS
2003
IEEE
16 years 7 days ago
Channel Assignment on Strongly-Simplicial Graphs
Given a vector ( 1 2 ::: t) of non increasing positive integers, and an undirected graph G = (V E), an L( 1 2 ::: t)-coloring of G is a function f from the vertex set V to a set o...
Alan A. Bertossi, Maria Cristina Pinotti, Romeo Ri...
181
Voted
COMBINATORICS
2004
97views more  COMBINATORICS 2004»
15 years 6 months ago
Tight Estimates for Eigenvalues of Regular Graphs
It is shown that if a d-regular graph contains s vertices so that the distance between any pair is at least 4k, then its adjacency matrix has at least s eigenvalues which are at l...
Alon Nilli
182
Voted
CORR
2008
Springer
95views Education» more  CORR 2008»
15 years 7 months ago
The Plane-Width of Graphs
Map vertices of a graph to (not necessarily distinct) points of the plane so that two adjacent vertices are mapped at least a unit distance apart. The plane-width of a graph is th...
Marcin Kaminski, Paul Medvedev, Martin Milanic
176
Voted
DM
2010
90views more  DM 2010»
15 years 7 months ago
The firefighter problem for cubic graphs
We show that the firefighter problem is NP-complete for cubic graphs. We also show that given a rooted tree of maximum degree three in which every leaf is the same distance from t...
Andrew King, Gary MacGillivray
190
Voted
EPIA
2009
Springer
16 years 1 months ago
An Algorithm to Discover the k-Clique Cover in Networks
Abstract. In social network analysis, a k-clique is a relaxed clique, i.e., a kclique is a quasi-complete sub-graph. A k-clique in a graph is a sub-graph where the distance between...
Luís Cavique, Armando B. Mendes, Jorge M. A...