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EJC
2008
14 years 12 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
14 years 12 months ago
Identifying codes of cycles with odd orders
The problem of the r-identifying code of a cycle Cn has been solved totally when n is even. Recently, S. Gravier et al. give the r-identifying code for the cycle Cn with the minim...
Min Xu, Krishnaiyan Thulasiraman, Xiao-Dong Hu
EJC
2008
14 years 12 months ago
Graph parameters and semigroup functions
Abstract. We prove a general theorem on semigroup functions that implies characterizations of graph partition functions in terms of the positive semidefiniteness (`reflection posit...
László Lovász, Alexander Schr...
EJC
2008
14 years 12 months ago
On the number of combinations without certain separations
Abstract. In this paper we enumerate the number of ways of selecting k objects from n objects arrayed in a line such that no two selected ones are separated by m-1, 2m-1,
Toufik Mansour, Yidong Sun
EJC
2007
14 years 11 months ago
Hypertree width and related hypergraph invariants
We study the notion of hypertree width of hypergraphs. We prove that, up to a constant factor, hypertree width is the same as a number of other hypergraph invariants that resemble...
Isolde Adler, Georg Gottlob, Martin Grohe