Orientable arithmetic matroids

نویسندگان

چکیده

برای دانلود رایگان متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

Eulerian and Bipartite Orientable Matroids

Further work of Brylawski and Heron (see [4, p. 315]) explores other characterizations of Eulerian binary matroids. They showed, independently, that a binary matroid M is Eulerian if and only if its dual, M∗, is a binary affine matroid. More recently, Shikare and Raghunathan [5] have shown that a binary matroid M is Eulerian if and only if the number of independent sets of M is odd. This chapte...

متن کامل

Minimal non-orientable matroids in a projective plane

The study of non-orientable matroids has not received very much attention compared with the study of representable matroids or oriented matroids. Proving non-orientability of a matroid is known to be a difficult problem even for small matroids of rank 3. RichterGebert [4] even proved that this problem is NP-complete. In general, there are only some necessary conditions (Proposition 6.6.1 of [1]).

متن کامل

Lagrangian Matroids Associated with Maps on Orientable Surfaces

The aim of this paper is to clarify the nature of combinatorial structures associated with maps on closed compact surfaces. These are fairly classical objects; however, not long ago it was discovered by A. Bouchet that maps are associated with ∆-matroids [7] (or Lagrangian matroids in the terminology of [4]). ∆-matroids are related to maps in almost the same way as ordinary matroids to graphs. ...

متن کامل

Splines, lattice points, and (arithmetic) matroids

Let X be a (d × N)-matrix. We consider the variable polytope ΠX(u) = {w ≥ 0 : Xw = u}. It is known that the function TX that assigns to a parameter u ∈ R the volume of the polytope ΠX(u) is piecewise polynomial. Formulas of Khovanskii-Pukhlikov and Brion-Vergne imply that the number of lattice points in ΠX(u) can be obtained by applying a certain differential operator to the function TX . In th...

متن کامل

Some minimal non - orientable matroids of rank three by Günter M . Ziegler

We construct an infinite family of minor-minimal rank three matroids that are not orientable.

متن کامل

ذخیره در منابع من


  با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید

ژورنال

عنوان ژورنال: Discrete Mathematics

سال: 2020

ISSN: 0012-365X

DOI: 10.1016/j.disc.2020.111872