Bicircular Matroid Designs

Torina Lewis1, Jenny Mcnulty2, Nancy Ann Neudauer3, Talmage James Reid4, Laura Sheppardson5
1School of Science, Engineering and Mathematics, Bethune-Cookman University, 640 Dr. Mary McLeod Bethune Boulevard, Daytona Beach, FL 32114
2 DEPARTMENT OF MATHEMATICAL SCIENCES, THE UNIVERSITY OF Montana, MissouLa, MT 59812-1032
3DEPARTMENT OF MATHEMATICS AND COMPUTER SCIENCE, PaciFic UNIVERSITY, FoREsT Grove, OR 97116
4DEPARTMENT OF MATHEMATICS, THE UNIVERSITY OF MIssIssIPPI, University, MS 38677
5DEPARTMENT OF MATHEMATICS, THE UNIVERSITY OF Missis- SIPPI, UNIVERSITY, MS 38677

Abstract

Murty characterized the connected binary matroids with all circuits having the same size. Here we characterize the connected
bicircular matroids with all circuits having the same size.