Skip to main content
Journal cover image

A criterion for the half-plane property

Publication ,  Journal Article
Wagner, DG; Wei, Y
Published in: Discrete Mathematics
April 6, 2009

We establish a convenient necessary and sufficient condition for a multiaffine real polynomial to be stable, and use it to verify that the half-plane property holds for seven small matroids that resisted the efforts of Choe, Oxley, Sokal, and Wagner [Y.-B. Choe, J.G. Oxley, A.D. Sokal, D.G. Wagner, Homogeneous polynomials with the half-plane property, Adv. Appl. Math. 32 (2004) 88-187]. © 2008 Elsevier B.V. All rights reserved.

Duke Scholars

Published In

Discrete Mathematics

DOI

ISSN

0012-365X

Publication Date

April 6, 2009

Volume

309

Issue

6

Start / End Page

1385 / 1390

Related Subject Headings

  • Computation Theory & Mathematics
  • 4904 Pure mathematics
  • 4901 Applied mathematics
  • 0802 Computation Theory and Mathematics
  • 0102 Applied Mathematics
  • 0101 Pure Mathematics
 

Citation

APA
Chicago
ICMJE
MLA
NLM
Wagner, D. G., & Wei, Y. (2009). A criterion for the half-plane property. Discrete Mathematics, 309(6), 1385–1390. https://doi.org/10.1016/j.disc.2008.02.005
Wagner, D. G., and Y. Wei. “A criterion for the half-plane property.” Discrete Mathematics 309, no. 6 (April 6, 2009): 1385–90. https://doi.org/10.1016/j.disc.2008.02.005.
Wagner DG, Wei Y. A criterion for the half-plane property. Discrete Mathematics. 2009 Apr 6;309(6):1385–90.
Wagner, D. G., and Y. Wei. “A criterion for the half-plane property.” Discrete Mathematics, vol. 309, no. 6, Apr. 2009, pp. 1385–90. Scopus, doi:10.1016/j.disc.2008.02.005.
Wagner DG, Wei Y. A criterion for the half-plane property. Discrete Mathematics. 2009 Apr 6;309(6):1385–1390.
Journal cover image

Published In

Discrete Mathematics

DOI

ISSN

0012-365X

Publication Date

April 6, 2009

Volume

309

Issue

6

Start / End Page

1385 / 1390

Related Subject Headings

  • Computation Theory & Mathematics
  • 4904 Pure mathematics
  • 4901 Applied mathematics
  • 0802 Computation Theory and Mathematics
  • 0102 Applied Mathematics
  • 0101 Pure Mathematics