In the paper we present purely combinatorial conditions that allow us to recognize the topological equivalence (or non-equivalence) of two given dissections. Using a computer program based on this result, we are able to generate a set which contains all topologically non-equivalent dissections of a p0-gon into convex pi-gons, i = 1, ..., n, where n, p0, ..., pn are integers such that n ≥ 2, pi ...

We consider the polyhedral approach to solving the capacitated facility location problem. The valid inequalities considered are the knapsack, ow cover, e ective capacity, single depot, and combinatorial inequalities. The ow cover, e ective capacity, and single depot inequalities form subfamilies of the general family of submodular inequalities. The separation problem based on the family of subm...

In this paper, we prove that the L combinatorial torsion of an amenable covering space can be approximated by the combinatorial torsions of a regular exhaustion. An ancillary theorem shows the L spectral density function of the combinatorial Laplacian on L-cochains on the covering space is approximated by the average spectral density functions of the combinatorial Laplacian on the cochains of t...

in this paper a certain class of polyhedral semigroups which has a presentation $$ is examined‎. ‎the completeness of the presentation and solvability of word problem of this class of semigroups is determined‎. ‎moreover the combinatorial distance between two words is determined‎.

Introduction This study is an effort to diagnose breast cancer by processing the quantitative and qualitative information obtained from medical infrared imaging. The medical infrared imaging is free from any harmful radiation and it is one of the best advantages of the proposed method. By analyzing this information, the best diagnostic parameters among the available parameters are selected and ...