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» A class of combinatorial identities
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97
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ARSCOM
2007
191views more  ARSCOM 2007»
14 years 11 months ago
Binomial Identities Generated by Counting Spanning Trees
We partition the set of spanning trees contained in the complete graph Kn into spanning trees contained in the complete bipartite graph Ks,t. This relation will show that any prop...
Thomas Dale Porter
99
Voted
DATESO
2010
131views Database» more  DATESO 2010»
14 years 9 months ago
Testing Quasigroup Identities using Product of Sequence
Non-associative quasigroups are well known combinatorial designs with many different applications. Many cryptographic algorithms based on quasigroups primitives have been published...
Eliska Ochodkova, Jiri Dvorský, Václ...
74
Voted
COMBINATORICS
2000
71views more  COMBINATORICS 2000»
14 years 11 months ago
Diagonal Checker-jumping and Eulerian Numbers for Color-signed Permutations
Abstract. We introduce color-signed permutations to obtain a very explicit combinatorial interpretation of the q-Eulerian identities of Brenti and some generalizations. In particul...
Niklas Eriksen, Henrik Eriksson, Kimmo Eriksson
99
Voted
MOR
2000
90views more  MOR 2000»
14 years 11 months ago
A PTAS for Minimizing the Total Weighted Completion Time on Identical Parallel Machines
We consider the problem of scheduling a set of n jobs on m identical parallel machines so as to minimize the weighted sum of job completion times. This problem is NP-hard in the s...
Martin Skutella, Gerhard J. Woeginger
COMBINATORICS
2007
83views more  COMBINATORICS 2007»
14 years 11 months ago
Explicit Enumeration of Triangulations with Multiple Boundaries
We enumerate rooted triangulations of a sphere with multiple holes by the total number of edges and the length of each boundary component. The proof relies on a combinatorial iden...
Maxim Krikun