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» Simplicial Powers of Graphs
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DM
2007
92views more  DM 2007»
13 years 7 months ago
Strongly simplicial vertices of powers of trees
For a tree T and an integer k ≥ 1, it is well known that the k-th power T k of T is strongly chordal and hence has a strong elimination ordering of its vertices. In this note we...
Geir Agnarsson, Magnús M. Halldórsso...
JGAA
2006
85views more  JGAA 2006»
13 years 7 months ago
A Survey of the Algorithmic Properties of Simplicial, Upper Bound and Middle Graphs
Three classes of graphs, simplicial, upper bound, and middle graphs, have been known for some time, but many of their algorithmic properties have not been published. The definitio...
Grant A. Cheston, Tjoen Seng Jap
DAM
1998
85views more  DAM 1998»
13 years 7 months ago
Separability Generalizes Dirac's Theorem
In our study of the extremities of a graph, we define a moplex as a maximal clique module the neighborhood of which is a minimal separator of the graph. This notion enables us to...
Anne Berry, Jean Paul Bordat
MA
2010
Springer
127views Communications» more  MA 2010»
13 years 5 months ago
Depth notions for orthogonal regression
Global depth, tangent depth and simplicial depths for classical and orthogonal regression are compared in examles and properies that are usefull for calculations are derived. Algo...
Robin Wellmann, Christine H. Müller
IPPS
2003
IEEE
14 years 22 days ago
Channel Assignment on Strongly-Simplicial Graphs
Given a vector ( 1 2 ::: t) of non increasing positive integers, and an undirected graph G = (V E), an L( 1 2 ::: t)-coloring of G is a function f from the vertex set V to a set o...
Alan A. Bertossi, Maria Cristina Pinotti, Romeo Ri...