Bias Matroids With Unique Graphical Representations

Daniel C. Slilaty

doi:10.1016/j.disc.2006.03.003

Bias Matroids With Unique Graphical Representations

Daniel C. Slilaty

Mathematics and Statistics

Research output: Contribution to journal › Article › peer-review

Abstract

Given a 3-connected biased graph Ω with three node-disjoint unbalanced circles, at most one of which is a loop, we describe how the bias matroid of Ω is uniquely represented by Ω.

Original language	English
Pages (from-to)	1253-1256
Number of pages	4
Journal	Discrete Mathematics
Volume	306
Issue number	12
DOIs	https://doi.org/10.1016/j.disc.2006.03.003
State	Published - Jun 28 2006

ASJC Scopus Subject Areas

Theoretical Computer Science
Discrete Mathematics and Combinatorics

Keywords

Bias matroids
Biased graphs
Frame matroids

Disciplines

Applied Mathematics
Applied Statistics
Mathematics

Access to Document

10.1016/j.disc.2006.03.003

Cite this

@article{f94e2923c5f54af8aaf19c706aba5f17,

title = "Bias Matroids With Unique Graphical Representations",

abstract = "Given a 3-connected biased graph Ω with three node-disjoint unbalanced circles, at most one of which is a loop, we describe how the bias matroid of Ω is uniquely represented by Ω.",

keywords = "Bias matroids, Biased graphs, Frame matroids",

author = "Slilaty, {Daniel C.}",

year = "2006",

month = jun,

day = "28",

doi = "10.1016/j.disc.2006.03.003",

language = "English",

volume = "306",

pages = "1253--1256",

journal = "Discrete Mathematics",

issn = "0012-365X",

number = "12",

}

TY - JOUR

T1 - Bias Matroids With Unique Graphical Representations

AU - Slilaty, Daniel C.

PY - 2006/6/28

Y1 - 2006/6/28

N2 - Given a 3-connected biased graph Ω with three node-disjoint unbalanced circles, at most one of which is a loop, we describe how the bias matroid of Ω is uniquely represented by Ω.

AB - Given a 3-connected biased graph Ω with three node-disjoint unbalanced circles, at most one of which is a loop, we describe how the bias matroid of Ω is uniquely represented by Ω.

KW - Bias matroids

KW - Biased graphs

KW - Frame matroids

UR - http://www.scopus.com/inward/record.url?scp=33646880423&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=33646880423&partnerID=8YFLogxK

UR - https://corescholar.libraries.wright.edu/math/322

U2 - 10.1016/j.disc.2006.03.003

DO - 10.1016/j.disc.2006.03.003

M3 - Article

SN - 0012-365X

VL - 306

SP - 1253

EP - 1256

JO - Discrete Mathematics

JF - Discrete Mathematics

IS - 12

ER -

Bias Matroids With Unique Graphical Representations

Abstract

ASJC Scopus Subject Areas

Keywords

Disciplines

Access to Document

Other files and links

Cite this