The principal minors of a matroid

DOI10.1016/0024-3795(71)90026-7zbMath0317.05021OpenAlexW2065544543WikidataQ126803198 ScholiaQ126803198MaRDI QIDQ1221769

Louis Weinberg, John L. Bruno

Publication date: 1971

Published in: Linear Algebra and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0024-3795(71)90026-7

Mathematics Subject Classification ID

Combinatorial aspects of matroids and geometric lattices (05B35) Graph theory (05C99)

Related Items

The principal partition of a pair of graphs and its applications, Theory of Principal Partitions Revisited, Forests, frames, and games: Algorithms for matroid sums and applications, Brick partitions of graphs, Fractional arboricity, strength, and principal partitions in graphs and matroids, Use of matroid theory in operations research, circuits and systems theory, Structural theorems for submodular functions, polymatroids and polymatroid intersections, Unions of oriented matroids, Directed switching games on graphs and matroids

Cites Work

• The maximum-rank minimum-term-rank theorem for the pivotal transforms of a matrix
• A Solution of the Shannon Switching Game
• Lectures on matroids
• Lehmans switching game and a theorem of Tutte and Nash-Williams