Open Access. Powered by Scholars. Published by Universities.®
Articles 1 - 1 of 1
Full-Text Articles in Entire DC Network
On The Null Space Structure Associated With Trees And Cycles, Shaun M. Fallat, Shahla Nasserasr
On The Null Space Structure Associated With Trees And Cycles, Shaun M. Fallat, Shahla Nasserasr
Mathematics Faculty Articles
In this work, we study the structure of the null spaces of matrices associated with graphs. Our primary tool is utilizing Schur complements based on certain collections of independent vertices. This idea is applied in the case of trees, and seems to represent a unifying theory within the context of the support of the null space. We extend this idea and apply it to describe the null vectors and corresponding nullities of certain symmetric matrices associated with cycles