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» On perfectness of sums of graphs
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JGAA
2006
85views more  JGAA 2006»
13 years 8 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
COMBINATORICS
1998
76views more  COMBINATORICS 1998»
13 years 8 months ago
An Exploration of the Permanent-Determinant Method
The permanent-determinant method and its generalization, the HafnianPfaffian method, are methods to enumerate perfect matchings of plane graphs that were discovered by P. W. Kaste...
Greg Kuperberg
DM
2006
144views more  DM 2006»
13 years 8 months ago
On almost self-complementary graphs
A graph is called almost self-complementary if it is isomorphic to one of its almost complements Xc - I, where Xc denotes the complement of X and I a perfect matching (1-factor) i...
Primoz Potocnik, Mateja Sajna
COMBINATORICS
2000
138views more  COMBINATORICS 2000»
13 years 8 months ago
Quasi-Spectral Characterization of Strongly Distance-Regular Graphs
A graph with diameter d is strongly distance-regular if is distanceregular and its distance-d graph d is strongly regular. The known examples are all the connected strongly regu...
Miguel Angel Fiol
TAMC
2009
Springer
14 years 3 months ago
Best-Order Streaming Model
We study a new model of computation called stream checking on graph problems where a space-limited verifier has to verify a proof sequentially (i.e., it reads the proof as a strea...
Atish Das Sarma, Richard J. Lipton, Danupon Nanong...