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JCT
2006
79views more  JCT 2006»
14 years 11 months ago
A characterization of cocircuit graphs of uniform oriented matroids
The cocircuit graph of an oriented matroid is the 1-skeleton of the cellular decomposition induced by the Topological Representation Theorem due to Folkman and Lawrence (1978) [J....
Juan José Montellano-Ballesteros, Ricardo S...
CCA
2009
Springer
15 years 6 months ago
Random Iteration Algorithm for Graph-Directed Sets
Abstract. A random iteration algorithm for graph-directed sets is defined and discussed. Similarly to the Barnsley-Elton’s theorem, it is shown that almost all sequences obtaine...
Yoshiki Tsujii, Takakazu Mori, Mariko Yasugi, Hide...
ESA
2009
Springer
159views Algorithms» more  ESA 2009»
15 years 6 months ago
Contraction Bidimensionality: The Accurate Picture
We provide new combinatorial theorems on the structure of graphs that are contained as contractions in graphs of large treewidth. As a consequence of our combinatorial results we u...
Fedor V. Fomin, Petr A. Golovach, Dimitrios M. Thi...
FUZZY
2004
Springer
126views Fuzzy Logic» more  FUZZY 2004»
15 years 5 months ago
Fuzzy Measures and Choquet Integral on Discrete Spaces
Abstract. This paper studies some relationships between fuzzy relations, fuzzy graphs and fuzzy measure. It is shown that a fundamental theorem of Discrete Convex Analysis is deriv...
Yasuo Narukawa, Vicenç Torra
MFCS
2005
Springer
15 years 5 months ago
D-Width: A More Natural Measure for Directed Tree Width
Due to extensive research on tree-width for undirected graphs and due to its many applications in various fields it has been a natural desire for many years to generalize the idea...
Mohammad Ali Safari