Symplectic matroids, independent sets, and signed graphs

نویسنده

  • Timothy Y. Chow
چکیده

We give an independent set axiomatization of symplectic matroids, a large and important class of Coxeter matroids. As an application, we construct a new class of examples of symplectic matroids from graphs. As another application, we prove that symplectic matroids satisfy a certain “basis exchange property,” and we conjecture that this basis exchange property in fact characterizes symplectic matroids. c © 2002 Elsevier Science B.V. All rights reserved. MSC: primary 05B35; secondary 05E15; 20F55; 05C25

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عنوان ژورنال:
  • Discrete Mathematics

دوره 263  شماره 

صفحات  -

تاریخ انتشار 2003