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EJC
2008
13 years 6 months ago
The Ramsey numbers for stars of even order versus a wheel of order nine
For two given graphs G1 and G2, the Ramsey number R(G1, G2) is the smallest positive integer n such that for any graph G of order n, either G contains G1 or the complement of G co...
Yunqing Zhang, Yaojun Chen, Kemin Zhang
EJC
2008
13 years 6 months ago
Substitution tilings with statistical circular symmetry
Two new series of substitution tilings are introduced in which the tiles appear in infinitely many orientations. It is shown that several properties of the well-known pinwheel tili...
Dirk Frettlöh
EJC
2008
13 years 6 months ago
Fractional chromatic number of distance graphs generated by two-interval sets
Let D be a set of positive integers. The distance graph generated by D, denoted by G(Z, D), has the set Z of all integers as the vertex Supported in part by the National Science ...
Daphne Der-Fen Liu, Xuding Zhu
EJC
2008
13 years 6 months ago
3-bounded property in a triangle-free distance-regular graph
Let denote a distance-regular graph with classical parameters (D, b, , ) and D 3. Assume the intersection numbers a1 = 0 and a2 = 0. We show is 3-bounded in the sense of the ar...
Yeh-jong Pan, Chih-wen Weng
EJC
2008
13 years 6 months ago
Factorization formulas for MacDonald polynomials
The aim of this note is to give some factorisation formulas for different versions of the Macdonald polynomials when the parameter t is specialized at roots of unity, generalizing...
François Descouens, Hideaki Morita