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UAI
2008
15 years 7 months ago
Clique Matrices for Statistical Graph Decomposition and Parameterising Restricted Positive Definite Matrices
We introduce Clique Matrices as an alternative representation of undirected graphs, being a generalisation of the incidence matrix representation. Here we use clique matrices to d...
David Barber
CCCG
2004
15 years 7 months ago
Three-dimensional 1-bend graph drawings
We consider three-dimensional grid-drawings of graphs with at most one bend per edge. Under the additional requirement that the vertices be collinear, we prove that the minimum vo...
Pat Morin, David R. Wood
CATS
2006
15 years 7 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
153
Voted
COMGEO
2008
ACM
15 years 6 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 6 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,...