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» On connectivity of consecutive-d digraphs
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ARSCOM
2008
133views more  ARSCOM 2008»
13 years 5 months ago
Eccentricity sequences and eccentricity sets in digraphs
The eccentricity e(v) of a vertex v in a strongly connected digraph G is the maximum distance from v. The eccentricity sequence of a digraph is the list of eccentricities of its v...
Joan Gimbert, Nacho López
JCT
2011
86views more  JCT 2011»
12 years 11 months ago
Descendant-homogeneous digraphs
The descendant set desc(α) of a vertex α in a digraph D is the set of vertices which can be reached by a directed path from α. A subdigraph of D is finitely generated if it is...
Daniela Amato, John K. Truss
IWPEC
2009
Springer
13 years 11 months ago
On the Directed Degree-Preserving Spanning Tree Problem
In this paper we initiate a systematic study of the Reduced Degree Spanning Tree problem, where given a digraph D and a nonnegative integer k, the goal is to construct a spanning o...
Daniel Lokshtanov, Venkatesh Raman, Saket Saurabh,...
AAECC
2011
Springer
380views Algorithms» more  AAECC 2011»
12 years 12 months ago
The generalized road coloring problem and periodic digraphs
A proof of the Generalized Road Coloring Problem, independent of the recent work by Beal and Perrin, is presented, using both semigroup methods and Trakhtman’s algorithm. Algebra...
G. Budzban, Ph. Feinsilver
APPROX
2004
Springer
135views Algorithms» more  APPROX 2004»
13 years 10 months ago
The Diameter of Randomly Perturbed Digraphs and Some Applications.
The central observation of this paper is that if ǫn random arcs are added to any n-node strongly connected digraph with bounded degree then the resulting graph has diameter O(ln ...
Abraham Flaxman, Alan M. Frieze