How is a Chordal Graph like a Supersolvable Binary Matroid?

Mathematics – Combinatorics

Scientific paper

Rate now

  [ 0.00 ] – not rated yet Voters 0   Comments 0

Details

10 pages, 3 figures, to appear in Discrete Mathematics

Scientific paper

Let G be a finite simple graph. From the pioneering work of R. P. Stanley it is known that the cycle matroid of G is supersolvable iff G is chordal (rigid): this is another way to read Dirac's theorem on chordal graphs. Chordal binary matroids are not in general supersolvable. Nevertheless we prove that, for every supersolvable binary matroid M, a maximal chain of modular flats of M canonically determines a chordal graph.

No associations

LandOfFree

Say what you really think

Search LandOfFree.com for scientists and scientific papers. Rate them and share your experience with other people.

Rating

How is a Chordal Graph like a Supersolvable Binary Matroid? does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with How is a Chordal Graph like a Supersolvable Binary Matroid?, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and How is a Chordal Graph like a Supersolvable Binary Matroid? will most certainly appreciate the feedback.

Rate now

     

Profile ID: LFWR-SCP-O-86819

  Search
All data on this website is collected from public sources. Our data reflects the most accurate information available at the time of publication.