Sciweavers

61 search results - page 1 / 13
» A chain theorem for matroids
Sort
View
JCT
2008
91views more  JCT 2008»
13 years 3 months ago
A chain theorem for matroids
Tutte's Wheels-and-Whirls Theorem proves that if M is a 3-connected matroid other than a wheel or a whirl, then M has a
James G. Oxley, Charles Semple, Geoff Whittle
JCT
2011
66views more  JCT 2011»
13 years 9 days ago
A chain theorem for internally 4-connected binary matroids
Carolyn Chun, Dillon Mayhew, James Oxley
SIAMDM
2011
13 years 9 days ago
An Obstacle to a Decomposition Theorem for Near-Regular Matroids
Seymour’s Decomposition Theorem for regular matroids states that any matroid representable over both GF(2) and GF(3) can be obtained from matroids that are graphic, cographic, o...
Dillon Mayhew, Geoff Whittle, Stefan H. M. van Zwa...
DM
2007
100views more  DM 2007»
13 years 5 months ago
Decompositions of signed-graphic matroids
We give a decomposition theorem for signed graphs whose frame matroids are binary and a decomposition theorem for signed graphs whose frame matroids are quaternary.
Daniel C. Slilaty, Hongxun Qin
JCT
2006
79views more  JCT 2006»
13 years 5 months ago
A characterization of cocircuit graphs of uniform oriented matroids
The cocircuit graph of an oriented matroid is the 1-skeleton of the cellular decomposition induced by the Topological Representation Theorem due to Folkman and Lawrence (1978) [J....
Juan José Montellano-Ballesteros, Ricardo S...