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» On Counting Generalized Colorings
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DM
2008
177views more  DM 2008»
14 years 10 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»
14 years 10 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»
14 years 10 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»
14 years 10 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»
14 years 10 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...