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EJC
2008
13 years 5 months ago
Energy and length in a topological planar quadrilateral
We provide bounds for the product of the lengths of distinguished shortest paths in a finite network induced by a triangulation of a topological planar quadrilateral.
Sa'ar Hersonsky
EJC
2008
13 years 5 months ago
Labeled posets are universal
Partially ordered sets labeled with k labels (k-posets) and their homomorphisms are examined. The homomorphicity order of k-posets is shown to be a distributive lattice. Homomorph...
Erkko Lehtonen
EJC
2008
13 years 5 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
EJC
2008
13 years 5 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