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JCT
2006
79views more  JCT 2006»
15 years 6 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
16 years 18 days 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»
16 years 18 days 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 11 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 11 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