Monomial ideals and planar graphs


Other Article

© Springer-Verlag Berlin Heidelberg 1999. Gröbner basis theory reduces questions about systems of polynomial equations to the combinatorial study of monomial ideals, or staircases. This article gives an elementary introduction to current research in this area. After reviewing the bivariate case, a new correspondence is established between planar graphs and minimal resolutions of monomial ideals in three variables. A brief guide is given to the literature on complexity issues and monomial ideals in four or more variables.

Full Text

Duke Authors

Cited Authors

  • Miller, E; Sturmfels, B

Published Date

  • January 1, 1999

Published In

Volume / Issue

  • 1719 /

Start / End Page

  • 19 - 28

Electronic International Standard Serial Number (EISSN)

  • 1611-3349

International Standard Serial Number (ISSN)

  • 0302-9743

International Standard Book Number 10 (ISBN-10)

  • 3540667237

International Standard Book Number 13 (ISBN-13)

  • 9783540667230

Digital Object Identifier (DOI)

  • 10.1007/3-540-46796-3_3

Citation Source

  • Scopus