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» Bounds of Graph Characteristics
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AUTOMATICA
2010
130views more  AUTOMATICA 2010»
13 years 8 months ago
Discrete-time dynamic average consensus
We propose a class of discrete-time dynamic average consensus algorithms that allow a group of agents to track the average of their reference inputs. The convergence results rely ...
Minghui Zhu, Sonia Martínez
DM
2010
115views more  DM 2010»
13 years 8 months ago
Edge colouring by total labellings
We introduce the concept of an edge-colouring total k-labelling. This is a labelling of the vertices and the edges of a graph G with labels 1, 2, . . . , k such that the weights o...
Stephan Brandt, Kristína Budajová, D...
DM
2007
78views more  DM 2007»
13 years 8 months ago
Properties of vertex cover obstructions
We study properties of the sets of minimal forbidden minors for the families of graphs having a vertex cover of size at most k. We denote this set by O(k-VERTEX COVER) and call it...
Michael J. Dinneen, Rongwei Lai
IJBC
2002
86views more  IJBC 2002»
13 years 8 months ago
Symbolic Dynamics from homoclinic tangles
We give a method for finding symbolic dynamics for a planar diffeomorphism with a homoclinic tangle. The method only requires a finite piece of tangle, which can be computed with ...
Pieter Collins
DAM
1999
169views more  DAM 1999»
13 years 7 months ago
Approximating the Weight of Shallow Steiner Trees
This paper deals with the problem of constructing Steiner trees of minimum weight with diameter bounded by d, spanning a given set of vertices in a graph. Exact solutions or logar...
Guy Kortsarz, David Peleg