A Note on the Sticky Matroid Conjecture - Mathematics > CombinatoricsReportar como inadecuado

A Note on the Sticky Matroid Conjecture - Mathematics > Combinatorics - Descarga este documento en PDF. Documentación en PDF para descargar gratis. Disponible también para leer online.

Abstract: A matroid is sticky if any two of its extensions by disjoint sets can beglued together along the common restriction that is, they have an amalgam.The sticky matroid conjecture asserts that a matroid is sticky if and only ifit is modular. Poljak and Turzik proved that no rank-3 matroid having twodisjoint lines is sticky. We show that, for r at least 3, no rank-r matroidhaving two disjoint hyperplanes is sticky. These and earlier results show thatthe sticky matroid conjecture for finite matroids would follow from a positiveresolution of the rank-4 case of a conjecture of Kantor.

Autor: Joseph E. Bonin

Fuente: https://arxiv.org/


Documentos relacionados