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DAM
2007
97views more  DAM 2007»
13 years 10 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
13 years 10 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...
MICS
2010
124views more  MICS 2010»
13 years 5 months ago
An Optimal Algorithm for the k-Fixed-Endpoint Path Cover on Proper Interval Graphs
In this paper we consider the k-fixed-endpoint path cover problem on proper interval graphs, which is a generalization of the path cover problem. Given a graph G and a set T of k v...
George B. Mertzios, Walter Unger
INFOCOM
2012
IEEE
12 years 20 days ago
Sparse recovery with graph constraints: Fundamental limits and measurement construction
—This paper addresses the problem of sparse recovery with graph constraints in the sense that we can take additive measurements over nodes only if they induce a connected subgrap...
Meng Wang, Weiyu Xu, Enrique Mallada, Ao Tang
AE
2007
Springer
14 years 4 months 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