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EJC
2008
14 years 9 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
14 years 9 months ago
Pooling spaces associated with finite geometry
3 Motivated by the works of Ngo and Du [H. Ngo, D. Du, A survey on combinatorial group testing 4 algorithms with applications to DNA library screening, DIMACS Series in Discrete Ma...
Tayuan Huang, Kaishun Wang, Chih-wen Weng
EJC
2008
14 years 9 months ago
Multiple Kronecker covering graphs
A graph may be the Kronecker cover in more than one way. In this note we explore this phenomenon and apply it to show that the minimal common cover of two graphs need not be uniqu...
Wilfried Imrich, Tomaz Pisanski
EJC
2008
14 years 9 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
14 years 9 months ago
Partitions and Clifford algebras
Given the set [n] = {1, . . . , n} for positive integer n, combinatorial properties of Clifford algebras are exploited to count partitions and nonoverlapping partitions of [n]. Th...
René Schott, G. Stacey Staples