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» Polarity of chordal graphs
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CORR
2008
Springer
71views Education» more  CORR 2008»
13 years 7 months ago
Asteroids in rooted and directed path graphs
An asteroidal triple is a stable set of three vertices such that each pair is connected by a path avoiding the neighborhood of the third vertex. Asteroidal triples play a central ...
Kathie Cameron, Chính T. Hoàng, Benj...
DM
2002
69views more  DM 2002»
13 years 7 months ago
Non-chordal graphs having integral-root chromatic polynomials II
It is known that the chromatic polynomial of any chordal graph has only integer roots. However, there also exist non-chordal graphs whose chromatic polynomials have only integer r...
Feng Ming Dong, Kee L. Teo, Khee Meng Koh, Michael...
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...
DAM
2007
108views more  DAM 2007»
13 years 7 months ago
3D-interval-filament graphs
: Gavril [GA4] defined two new families of intersection graphs: the interval-filament graphs and the subtree-filament graphs. The complements of intervalfilament graphs are the coi...
Fanica Gavril
SWAT
2004
Springer
129views Algorithms» more  SWAT 2004»
14 years 27 days ago
Collective Tree Spanners of Graphs
In this paper we introduce a new notion of collective tree spanners. We say that a graph G = (V, E) admits a system of µ collective additive tree r-spanners if there is a system T...
Feodor F. Dragan, Chenyu Yan, Irina Lomonosov