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DM
2006
93views more  DM 2006»
13 years 10 months ago
The number of equivalence classes of symmetric sign patterns
This paper shows that the number of sign patterns of totally non-zero symmetric n-by-n matrices, up to conjugation by monomial matrices and negation, is equal to the number of unl...
Peter J. Cameron, Charles R. Johnson
ENDM
2008
82views more  ENDM 2008»
13 years 10 months ago
Finding Folkman Numbers via MAX CUT Problem
In this note we report on our recent work, still in progress, regarding Folkman numbers. Let f(2, 3, 4) denote the smallest integer n such that there exists a K4
Andrzej Dudek, Vojtech Rödl
DM
2008
116views more  DM 2008»
13 years 10 months ago
Total and fractional total colourings of circulant graphs
In this paper, the total chromatic number and fractional total chromatic number of circulant graphs are studied. For cubic circulant graphs we give upper bounds on the fractional ...
Riadh Khennoufa, Olivier Togni
CISS
2008
IEEE
14 years 4 months ago
A lower-bound on the number of rankings required in recommender systems using collaborativ filtering
— We consider the situation where users rank items from a given set, and each user ranks only a (small) subset of all items. We assume that users can be classified into C classe...
Peter Marbach
ALGORITHMICA
2010
137views more  ALGORITHMICA 2010»
13 years 10 months ago
A Fully Dynamic Graph Algorithm for Recognizing Interval Graphs
We present the first dynamic graph algorithm for recognizing interval graphs. The algorithm runs in O(n log n) worst-case time per edge deletion or edge insertion, where n is the ...
Louis Ibarra