Unimodality and genus distributions

Publication date: 22 January 2014

Abstract: New criteria are shown that certain combinations of finite unimodal polynomials are unimodal. %Given unimodal polynomials with explicit expressions and dependent recursion relations, we propose an approach to determine their modes. As applications, unimodality of several polynomial sequences satisfying dependent recurrence relations and their modes are provided. Then unimodality of genus distributions for some ladders and crosses can be determined. As special cases, that of genus distributions for Closed-end ladders, circular ladders, M"{o}bius ladders and Ringel ladders and their modes are given, which induces the known results for Closed-end ladders.

This page was built for publication: Unimodality and genus distributions

Report a bug (only for logged in users!)Click here to report a bug for this page (MaRDI item Q6248351)