IS THE 4-COLOR CONJECTURE ALMOST FALSE

被引：47

作者：

BERAHA, S

KAHANE, J

机构：

[1] Department of Mathematics, Queens College, City University of New York, Flushing

来源：

JOURNAL OF COMBINATORIAL THEORY SERIES B | 1979年 / 27卷 / 01期

关键词：

D O I：

10.1016/0095-8956(79)90064-9

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

This paper examines the limits of zeroes of the sequence of chromatic polynomials corresponding to the sequence of maps consisting of an inner and outer square seperated by n 4-rings. This serves as an interesting application of the Beraha, Kahane, Weiss theorem [2, 3] and has the striking result that λ = 4 is a limit of zeroes of this family. © 1979.

引用

页码：1 / 12

页数：12

共 6 条

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BERAHA, S ;

KAHANE, J ;

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PROCEEDINGS OF THE NATIONAL ACADEMY OF SCIENCES OF THE UNITED STATES OF AMERICA, 1975, 72 (11) :4209-4209

[2]

Beraha S., 1978, STUDIES FDN COMBINAT, V1, P213

[3]

BERAHA S, THESIS J HOPKINS U

[4] CHROMATIC POLYNOMIALS [J].

BIRKHOFF, GD ;

LEWIS, DC .

TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 1946, 60 (NOV) :355-451

[5]

Tutte W. T., 1970, J COMB THEORY, V9, P289

[6]

TUTTE WT, 1975, STUDIES MATH, V12, P361

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