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math.CO2000
Oriented Lagrangian Matroids
Richard F. Booth, Alexandre V. Borovik, Israel M. Gelfand +1
In this paper we present a definition of oriented Lagrangian symplectic matroids and their representations. Classical concepts of orientation and this extension may both be thought…
math.CO2000
Lagrangian Matroids associated with Maps on Orientable Surfaces
Richard F. Booth, Alexandre V. Borovik, Israel Gelfand
The aim of the paper is to clarify the nature of combinatorial structures associated with maps on closed compact surfaces. We prove that maps give rise to Lagrangian matroids repre…