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JCT
1998
122views more  JCT 1998»
15 years 6 months ago
Counting 1-Factors in Regular Bipartite Graphs
We show that any k-regular bipartite graph with 2n vertices has at least ((k−1)k−1 kk−2 )n perfect matchings (1-factors). Equivalently, this is a lower bound on the permanent...
Alexander Schrijver
FSS
2010
82views more  FSS 2010»
15 years 4 months ago
Quasi-copulas and signed measures
We study the relationship between multivariate quasi-copulas and measures that they may or may not induce on [0, 1]n. We first study the mass distribution of the pointwise best p...
Roger B. Nelsen, José Juan Quesada-Molina, ...
164
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PE
2010
Springer
144views Optimization» more  PE 2010»
15 years 4 months ago
Capacity scaling of large wireless networks with heterogeneous clusters
We analyze the capacity scaling laws of wireless networks where the spatial distribution of nodes over the network area exhibits a high degree of clustering. In particular we cons...
Valentina Martina, Michele Garetto, Emilio Leonard...
175
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COCOA
2010
Springer
15 years 4 months ago
Searching for an Axis-Parallel Shoreline
We are searching for an unknown horizontal or vertical line in the plane under the competitive framework. We design a well-suited framework for all cylcic strategies that result in...
Elmar Langetepe
NHM
2010
71views more  NHM 2010»
15 years 1 months ago
Non-existence of positive stationary solutions for a class of semi-linear PDEs with random coefficients
We consider a so-called random obstacle model for the motion of a hypersurface through a field of random obstacles, driven by a constant driving field. The resulting semilinear par...
Jérôme Coville, Nicolas Dirr, Stephan...