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COMBINATORICA
2007
56views more  COMBINATORICA 2007»
14 years 9 months ago
On embeddability and stresses of graphs
Gluck [6] has proven that triangulated 2-spheres are generically 3-rigid. Equivalently, planar graphs are generically 3-stress free. We show that already the K5-minor freeness gua...
Eran Nevo
ISPAN
2005
IEEE
15 years 3 months ago
The structure of super line graphs
For a given graph G = (V, E) and a positive integer k, the super line graph of index k of G is the graph Sk(G) which has for vertices all the k-subsets of E(G), and two vertices S...
Jay Bagga, Daniela Ferrero
DAM
2008
131views more  DAM 2008»
14 years 10 months ago
Partition into cliques for cubic graphs: Planar case, complexity and approximation
Given a graph G = (V, E) and a positive integer k, the PARTITION INTO CLIQUES (PIC) decision problem consists of deciding whether there exists a partition of V into k disjoint sub...
Márcia R. Cerioli, L. Faria, T. O. Ferreira...
COMBINATORICS
2004
97views more  COMBINATORICS 2004»
14 years 9 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
JDA
2010
95views more  JDA 2010»
14 years 8 months ago
Sigma-local graphs
We introduce and analyze σ-local graphs, based on a definition of locality by Erickson [12]. We present two algorithms to construct such graphs, for any real number σ > 1 an...
Prosenjit Bose, Sébastien Collette, Stefan ...