Incidence semirings of graphs and visible bases

Authors

  • J. Abawajy Deakin University
  • A. V. Kelarev University of Newcastle
  • M. Miller University of Newcastle
  • J. Ryan University of Newcastle

Keywords:

incidence semirings, right ideals, balanced graphs

Abstract

We consider the incidence semirings of graphs and prove that every incidence semiring has convenient visible bases for its right ideals and for its left ideals, and that these visible bases can be used to determine the weights of all right ideals that have maximum weight and all left ideals that have maximum weight. DOI: 10.1017/S000497271300083X

Author Biographies

J. Abawajy, Deakin University

Professor School of Information Technology

A. V. Kelarev, University of Newcastle

Senior Research Fellow School of Electrical Engineering and Computer Science

M. Miller, University of Newcastle

Professor CARMA Priority Research Centre School of Mathematical and Physical Sciences

J. Ryan, University of Newcastle

Senior Lecturer School of Electrical Engineering and Computer Science

Published

2014-03-25

Issue

Vol. 89 No. 3 (2014)

Section

Articles
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