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DAM
2007
97views more  DAM 2007»
15 years 6 months ago
On Sturmian graphs
In this paper we define Sturmian graphs and we prove that all of them have a certain “counting” property. We show deep connections between this counting property and two conj...
Chiara Epifanio, Filippo Mignosi, Jeffrey Shallit,...
EJC
2007
15 years 6 months ago
Chords of longest circuits in locally planar graphs
It was conjectured by Thomassen ([B. Alspach, C. Godsil, Cycle in graphs, Ann. Discrete Math. 27 (1985)], p. 466) that every longest circuit of a 3-connected graph must have a cho...
Ken-ichi Kawarabayashi, Jianbing Niu, Cun-Quan Zha...
AE
2007
Springer
16 years 19 days ago
A Study of Evaluation Functions for the Graph K-Coloring Problem
The evaluation or fitness function is a key component of any heuristic search algorithm. This paper introduces a new evaluation function for the well-known graph K-coloring proble...
Daniel Cosmin Porumbel, Jin-Kao Hao, Pascale Kuntz
COCO
2007
Springer
87views Algorithms» more  COCO 2007»
16 years 19 days ago
Parity Problems in Planar Graphs
We consider the problem of counting the number of spanning trees in planar graphs. We prove tight bounds on the complexity of the problem, both in general and especially in the mo...
Mark Braverman, Raghav Kulkarni, Sambuddha Roy
GD
2005
Springer
15 years 12 months ago
Energy-Based Clustering of Graphs with Nonuniform Degrees
Widely varying node degrees occur in software dependency graphs, hyperlink structures, social networks, and many other real-world graphs. Finding dense subgraphs in such graphs is ...
Andreas Noack