COMBINATORICS 2007 | Sciweavers

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COMBINATORICS
2007

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Statistics on the Multi-Colored Permutation Groups

13 years 4 months ago

We deﬁne an excedance number for the multi-colored permutation group i.e. the wreath product (Zr1 × · · · × Zrk ) Sn and calculate its multi-distribution with some natural ...

Eli Bagno, Ayelet Butman, David Garber

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COMBINATORICS
2007

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Intersecting Families in the Alternating Group and Direct Product of Symmetric Groups

13 years 4 months ago

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Let Sn denote the symmetric group on [n] = {1, . . . , n}. A family I ⊆ Sn is intersecting if any two elements of I have at least one common entry. It is known that the only int...

Cheng Yeaw Ku, Tony W. H. Wong

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COMBINATORICS
2007

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Clusters in a Multigraph with Elevated Density

13 years 4 months ago

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In this paper, we prove that in a multigraph whose density Γ exceeds the maximum vertex degree ∆, the collection of minimal clusters (maximally dense sets of vertices) is cycle...

Mark K. Goldberg

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COMBINATORICS
2007

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Apery's Double Sum is Plain Sailing Indeed

13 years 4 months ago

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Carsten Schneider

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COMBINATORICS
2007

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Longest Alternating Subsequences in Pattern-Restricted Permutations

13 years 4 months ago

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We determine the limiting distributions of the longest alternating subsequence for pattern-restricted permutations in which the pattern is any one of the six patterns of length th...

Ghassan Firro, Toufik Mansour, Mark C. Wilson

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COMBINATORICS
2007

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Unification of the Quintuple and Septuple Product Identities

13 years 4 months ago

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By combining the functional equation method with Jacobi’s triple product identity, we establish a general equation with ﬁve free parameters on the modiﬁed Jacobi theta functi...

Wenchang Chu, Qinglun Yan

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COMBINATORICS
2007

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On Subsequence Sums of a Zero-sum Free Sequence

13 years 4 months ago

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Fang Sun

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COMBINATORICS
2007

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The Skew and Relative Derangements of Type B

13 years 4 months ago

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By introducing the notion of relative derangements of type B, also called signed relative derangements, which are deﬁned in terms of signed permutations, we obtain a type B anal...

William Y. C. Chen, Jessica C. Y. Zhang

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COMBINATORICS
2007

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Matroid Automorphisms of the F4 Root System

13 years 4 months ago

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Let F4 be the root system associated with the 24-cell, and let M(F4) be the simple linear dependence matroid corresponding to this root system. We determine the automorphism group...

Stephanie Fried, Aydin Gerek, Gary Gordon, Andrija...

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COMBINATORICS
2007

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The Spectral Radius and the Maximum Degree of Irregular Graphs

13 years 4 months ago