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» Strongly simplicial vertices of powers of trees
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DM
2007
92views more  DM 2007»
13 years 4 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...
COCOA
2008
Springer
13 years 6 months ago
Simplicial Powers of Graphs
In a finite simple undirected graph, a vertex is simplicial if its neighborhood is a clique. We say that, for k 2, a graph G = (VG, EG) is the k-simplicial power of a graph H = (V...
Andreas Brandstädt, Van Bang Le
IPPS
2003
IEEE
13 years 10 months 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...
ISCAS
2005
IEEE
129views Hardware» more  ISCAS 2005»
13 years 10 months ago
Partitioning graphs of supply and demand
: Assume that each vertex of a graph G is either a supply vertex or a demand vertex and is assigned a positive integer, called a supply or a demand. Each demand vertex can receive ...
Takehiro Ito, Xiao Zhou, Takao Nishizeki
JDA
2008
94views more  JDA 2008»
13 years 4 months ago
Approximability of partitioning graphs with supply and demand
Suppose that each vertex of a graph G is either a supply vertex or a demand vertex and is assigned a positive real number, called the supply or the demand. Each demand vertex can ...
Takehiro Ito, Erik D. Demaine, Xiao Zhou, Takao Ni...