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» A graph polynomial for independent sets of bipartite graphs
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ECCC
1998
117views more  ECCC 1998»
14 years 9 months ago
Determinant: Old Algorithms, New Insights
In this paper we approach the problem of computing the characteristic polynomial of a matrix from the combinatorial viewpoint. We present several combinatorial characterizations of...
Meena Mahajan, V. Vinay
STOC
2005
ACM
96views Algorithms» more  STOC 2005»
15 years 10 months ago
Every monotone graph property is testable
A graph property is called monotone if it is closed under taking (not necessarily induced) subgraphs (or, equivalently, if it is closed under removal of edges and vertices). Many ...
Noga Alon, Asaf Shapira
DAM
1999
105views more  DAM 1999»
14 years 9 months ago
The b-chromatic Number of a Graph
The achromatic number (G) of a graph G = (V, E) is the maximum k such that V has a partition V1, V2, . . . , Vk into independent sets, the union of no pair of which is independent...
Robert W. Irving, David Manlove
COMBINATORICS
2006
123views more  COMBINATORICS 2006»
14 years 10 months ago
The Non-Crossing Graph
Two sets are non-crossing if they are disjoint or one contains the other. The noncrossing graph NCn is the graph whose vertex set is the set of nonempty subsets of [n] = {1, . . ....
Nathan Linial, Michael E. Saks, David Statter
INFOCOM
2007
IEEE
15 years 4 months ago
Lexicographic Fairness in WDM Optical Cross-Connects
— We consider fair allocation of sessions at the outputs of optical cross-connects employing wavelength division multiplexing (WDM). Each session consists of traffic on one or m...
Satya Ranjan Mohanty, Laxmi N. Bhuyan