Computational Complexity of Topological Invariants

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

Boxicity and topological invariants

The boxicity of a graph G = (V,E) is the smallest integer k for which there exist k interval graphs Gi = (V,Ei), 1 ≤ i ≤ k, such that E = E1 ∩ · · · ∩ Ek. Equivalently, the boxicity of G is the smallest integer d ≥ 1 such that G is the intersection graph of a collection of boxes in R (a box in R the cartesian product of d closed intervals of the real line). In the first part of the talk, I will...

متن کامل

Topological Invariants for Lines

A set of topological invariants for relations between lines embedded in the 2-dimensional Euclidean space is given. The set of invariants is proven to be necessary and sufficient to characterize topological equivalence classes of binary relations between simple lines. The topology of arbitrarily complex geometric scenes is described with a variation of the same set of invariants. Polynomial tim...

متن کامل

Analytic and Topological Invariants

We construct skew-adjoint operators associated to nowhere zero vector elds on manifolds with vanishing Euler number. The mod 2 indices of these operators provide potentially new invariants for such manifolds. An odd index theorem for corresponding Toeplitz operators is established. This last result may be viewed as an odd dimensional analogue of the Gauss-Bonnet-Chern theorem. It is well-known ...

متن کامل

On the Computational Complexity of the Domination Game

The domination game is played on an arbitrary graph $G$ by two players, Dominator and Staller. It is known that verifying whether the game domination number of a graph is bounded by a given integer $k$ is PSPACE-complete. On the other hand, it is showed in this paper that the problem can be solved for a graph $G$ in $mathcal O(Delta(G)cdot |V(G)|^k)$ time. In the special case when $k=3$ and the...

متن کامل

Stratifiable Maps and Topological Invariants

Let X and Y be spaces and I: X -+ Y be a map between them. Then a large family of problems in topology (and geometry) involve the attempt to relate the invariants of X and Y via I. This attempt has been successful often for the case X and Y manifolds and I the projection of a fibre bundle, for many types of important invariants. For example, the result of ChernHirzebruch-Serre [CHS] asserts tha...

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: Proceedings of the Edinburgh Mathematical Society

سال: 2014

ISSN: 0013-0915,1464-3839

DOI: 10.1017/s0013091514000455