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Article
Bicircular Matroids Representable over GF(4) or GF(5)
Discrete Mathematics
  • Deborah Chun
  • Tyler Moss
  • Dan Slilaty, Wright State University - Main Campus
  • Xiangqian Zhou, Wright State University - Main Campus
Document Type
Article
Publication Date
9-6-2016
Abstract

Given a bicircular matroid B(G) and q∈{4,5}, we characterize when the bicircular matroid B(G) is GF(q)-representable by precisely describing the structure of G. These descriptions yield polynomial-time algorithms with input G to certify if B(G) is or is not GF(q)-representable.

DOI
10.1016/j.disc.2016.03.017
Citation Information
Deborah Chun, Tyler Moss, Dan Slilaty and Xiangqian Zhou. "Bicircular Matroids Representable over GF(4) or GF(5)" Discrete Mathematics Vol. 339 Iss. 9 (2016) p. 2239 - 2248 ISSN: 0012365X
Available at: http://works.bepress.com/dan_slilaty/7/