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EJC
2006
14 years 9 months ago
2006
We present a seemingly new definition of flows and flow numbers for oriented matroids and prove that the flow number L and the antisymmetric flow number Las of an oriented matroid...
EJC
2000
14 years 9 months ago
2000
Given an affine surjection of polytopes : P Q, the Generalized Baues Problem asks whether the poset of all proper polyhedral subdivisions of Q which are induced by the map has t...
EJC
2002
14 years 9 months ago
2002
A cycle in a matroid is a disjoint union of circuits. This paper proves that every regular matroid M without coloops has a set S of cycles whose union is E(M) such that every elem...
EJC
2010
14 years 9 months ago
2010
Abstract. Motivated by juggling sequences and bubble sort, we examine permutations on the set {1, 2, . . . , n} with d descents and maximum drop size k. We give explicit formulas f...
EJC
2010
14 years 9 months ago
2010
Let G be a simple connected graph with n vertices and n edges which we call an unicyclic graph. In this paper, we first investigate the least eigenvalue n(G), then we present two ...