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» Vertex partitions of chordal graphs
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WALCOM
2010
IEEE
255views Algorithms» more  WALCOM 2010»
14 years 2 months ago
Harmonious Coloring on Subclasses of Colinear Graphs
Given a simple graph G, a harmonious coloring of G is a proper vertex coloring such that each pair of colors appears together on at most one edge. The harmonious chromatic number i...
Kyriaki Ioannidou, Stavros D. Nikolopoulos
ISCAS
2005
IEEE
129views Hardware» more  ISCAS 2005»
14 years 1 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
ANOR
2005
160views more  ANOR 2005»
13 years 7 months ago
Packing r-Cliques in Weighted Chordal Graphs
In Hell et al. (2004), we have previously observed that, in a chordal graph G, the maximum number of independent r-cliques (i.e., of vertex disjoint subgraphs of G, each isomorphic...
Pavol Hell, Sulamita Klein, Loana Tito Nogueira, F...
ENDM
2000
60views more  ENDM 2000»
13 years 7 months ago
The graph sandwich problem for 1-join composition is NP-complete
A graph is a 1-join composition if its vertex set can be partitioned into four nonempty sets AL; AR; SL and SR such that: every vertex of AL is adjacent to every vertex of AR; no ...
Celina M. Herrera de Figueiredo, Sulamita Klein, K...
AAIM
2007
Springer
97views Algorithms» more  AAIM 2007»
14 years 1 months ago
Probe Matrix Problems: Totally Balanced Matrices
Let M be a class of 0/1-matrices. A 0/1/ -matrix A where the s induce a submatrix is a probe matrix of M if the s in A can be replaced by 0s and 1s such that A becomes a member of ...
David B. Chandler, Jiong Guo, Ton Kloks, Rolf Nied...