Log-concavity of genus distributions for circular ladders

Yichao Chen; Jonathan L. Gross; Toufik Mansour

doi:10.1002/mana.201400229

Log-concavity of genus distributions for circular ladders

Yichao Chen, Jonathan L. Gross, Toufik Mansour

Department of Mathematics

Research output: Contribution to journal › Article › peer-review

Abstract

A well-known conjecture in topological graph theory says that the genus distribution of every graph is log-concave. In this paper, the genus distribution of the circular ladder CL_n is re-derived, using overlap matrices and Chebyshev polynomials, which facilitates proof that this genus distribution is log-concave.

Original language	English
Pages (from-to)	1952-1969
Number of pages	18
Journal	Mathematische Nachrichten
Volume	288
Issue number	17-18
DOIs	https://doi.org/10.1002/mana.201400229
State	Published - 1 Dec 2015

Bibliographical note

Publisher Copyright:
© 2015 WILEY-VCH Verlag GmbH & Co. KGaA, Weinheim

Keywords

Log-concavity
circular ladders
genus distribution

ASJC Scopus subject areas

General Mathematics

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10.1002/mana.201400229

Cite this

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title = "Log-concavity of genus distributions for circular ladders",

abstract = "A well-known conjecture in topological graph theory says that the genus distribution of every graph is log-concave. In this paper, the genus distribution of the circular ladder CLn is re-derived, using overlap matrices and Chebyshev polynomials, which facilitates proof that this genus distribution is log-concave.",

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AU - Mansour, Toufik

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AB - A well-known conjecture in topological graph theory says that the genus distribution of every graph is log-concave. In this paper, the genus distribution of the circular ladder CLn is re-derived, using overlap matrices and Chebyshev polynomials, which facilitates proof that this genus distribution is log-concave.

KW - Log-concavity

KW - circular ladders

KW - genus distribution

UR - https://www.scopus.com/pages/publications/84935449430

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ER -

Log-concavity of genus distributions for circular ladders

Abstract

Bibliographical note

Keywords

ASJC Scopus subject areas

Access to Document

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