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» On Counting Generalized Colorings
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DM
2008
177views more  DM 2008»
13 years 9 months ago
The independence number in graphs of maximum degree three
We prove that a K4-free graph G of order n, size m and maximum degree at most three has an independent set of cardinality at least 1 7 (4n - m - - tr) where counts the number of c...
Jochen Harant, Michael A. Henning, Dieter Rautenba...
CORR
2006
Springer
90views Education» more  CORR 2006»
13 years 9 months ago
Symmetric Subresultants and Applications
Schur's transforms of a polynomial are used to count its roots in the unit disk. These are generalized them by introducing the sequence of symmetric sub-resultants of two pol...
Cyril Brunie, Philippe Saux Picart
JAPLL
2006
114views more  JAPLL 2006»
13 years 9 months ago
The monadic second-order logic of graphs XV: On a conjecture by D. Seese
A conjecture by D. Seese states that if a set of graphs has a decidable monadic second-order theory, then it is the image of a set of trees under a transformation defined by monad...
Bruno Courcelle
DAM
2007
88views more  DAM 2007»
13 years 9 months ago
Hybrid one-dimensional reversible cellular automata are regular
It is shown that the set of hybrid one-dimensional reversible cellular automata (CA) with the periodic boundary condition is a regular set. This has several important consequences...
Jesse D. Bingham, Brad Bingham
FUIN
2007
85views more  FUIN 2007»
13 years 9 months ago
Entropies and Co-Entropies of Coverings with Application to Incomplete Information Systems
Different generalizations to the case of coverings of the standard approach to entropy applied to partitions of a finite universe X are explored. In the first approach any cover...
Daniela Bianucci, Gianpiero Cattaneo, Davide Ciucc...