Invariant factors of cartesian product of graphs and one point unions of graphs

Wai Chee SHIU, Mei Choi CHIU

Research output: Contribution to journalArticle

Abstract

A matrix called Varchenko matrix associate with a hyperplane arrangement was defined by Varchenko in 1991. Matrices that we shall call q-matrices are induced from Varchenko matrices. Many researchers are interested the invariant factors of these q-matrices. Shiu put this problem to the graph model. In this paper, invariant factors of Cartesian product of graphs will be found. Copyright © 2008 Utilitas Mathematica Pub. Inc.
Original languageEnglish
Pages (from-to)173-184
JournalCongressus Numerantium
Volume191
Publication statusPublished - 2008

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Invariant Factors
Cartesian Product of Graphs
Q-matrix
Union
Hermitian conjugate
Graph in graph theory
Hyperplane Arrangement
Mathematica
Graph Model

Citation

Shiu, W. C., & Chiu, M. C. (2008). Invariant factors of cartesian product of graphs and one point unions of graphs. Congressus Numerantium, 191, 173-184.

Keywords

  • q-matrix
  • Invariant factors
  • Cartesian product of graphs
  • One point unions of graphs