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» The b-chromatic Number of a Graph
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CATS
2006
15 years 2 months ago
A Polynomial Algorithm for Codes Based on Directed Graphs
A complete description and proof of correctness are given for a new polynomial time algorithm for a class of codes based on directed graphs and involving construction well known i...
A. V. Kelarev
104
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COMGEO
2008
ACM
15 years 1 months ago
Augmenting the connectivity of geometric graphs
Let G be a connected plane geometric graph with n vertices. In this paper, we study bounds on the number of edges required to be added to G to obtain 2-vertex or 2-edge connected ...
Manuel Abellanas, Alfredo García Olaverri, ...
DM
2010
143views more  DM 2010»
15 years 1 months ago
Acyclic improper colourings of graphs with bounded maximum degree
For graphs of bounded maximum degree, we consider acyclic t-improper colourings, that is, colourings in which each bipartite subgraph consisting of the edges between two colour cl...
Louigi Addario-Berry, Louis Esperet, Ross J. Kang,...
DAM
2008
108views more  DAM 2008»
15 years 1 months ago
On the complexity of the multicut problem in bounded tree-width graphs and digraphs
Given an edge- or vertex-weighted graph or digraph and a list of source-sink pairs, the minimum multicut problem consists in selecting a minimum weight set of edges or vertices wh...
Cédric Bentz
COMBINATORICS
2006
221views more  COMBINATORICS 2006»
15 years 1 months ago
Kernels of Directed Graph Laplacians
Abstract. Let G denote a directed graph with adjacency matrix Q and indegree matrix D. We consider the Kirchhoff matrix L = D - Q, sometimes referred to as the directed Laplacian. ...
John S. Caughman IV, J. J. P. Veerman