Zobrazeno 1 - 10
of 66
pro vyhledávání: '"Vrećica, Siniša"'
Chessboard complexes and their generalizations, as objects, and Discrete Morse theory, as a tool, are presented as a unifying theme linking different areas of geometry, topology, algebra and combinatorics. Edmonds and Fulkerson bottleneck (minmax) th
Externí odkaz:
http://arxiv.org/abs/2003.04018
This paper proposes topologically sensitive metaheuristics, and describes conceptual design of topologically sensitive Variable Neighborhood Search method (TVNS) and topologically sensitive Electromagnetism Metaheuristic (TEM).
Externí odkaz:
http://arxiv.org/abs/2002.11164
Autor:
Milutinović, Marija Jelić, Jojić, Duško, Timotijević, Marinko, Vrećica, Siniša T., Živaljević, Rade T.
The partition number $\pi(K)$ of a simplicial complex $K\subset 2^{[n]}$ is the minimum integer $\nu$ such that for each partition $A_1\uplus\ldots\uplus A_\nu = [n]$ of $[n]$ at least one of the sets $A_i$ is in $K$. A complex $K$ is $r$-unavoidable
Externí odkaz:
http://arxiv.org/abs/1612.09487
The partition number $\pi(K)$ of a simplicial complex $K\subset 2^{[m]}$ is the minimum integer $\nu$ such that for each partition $A_1\uplus\ldots\uplus A_\nu = [m]$ of $[m]$ at least one of the sets $A_i$ is in $K$. A complex $K$ is $r$-unavoidable
Externí odkaz:
http://arxiv.org/abs/1603.08472
We give a proof of the result of Edgar Ramos which claims that two finite, continuous Borel measures $\mu_1$ and $\mu_2$ defined on $\mathbb{R}^5$ admit an equipartition by a collection of three hyperplanes. Our proof illuminates one of the central m
Externí odkaz:
http://arxiv.org/abs/1508.01552
We prove a new theorem of Tverberg type which confirms the conjecture of Blagojevic, Frick, and Ziegler about the existence of "balanced Tverberg partitions" (Conjecture 6.6 in, Tverberg plus constraints, Bull. London Math. Soc., 46 (2014) 953-967).
Externí odkaz:
http://arxiv.org/abs/1502.05290
Autor:
Milutinović, Marija Jelić, Jojić, Duško, Timotijević, Marinko, Vrećica, Siniša T., Živaljević, Rade T.
Publikováno v:
In European Journal of Combinatorics January 2020 83
Following D.B. Karaguezian, V. Reiner, and M.L. Wachs (Matching Complexes, Bounded Degree Graph Complexes, and Weight Spaces of $GL$-Complexes, Journal of Algebra 2001) we study the connectivity degree and shellability of multiple chessboard complexe
Externí odkaz:
http://arxiv.org/abs/1412.0386
Autor:
Vrecica, Sinisa, Zivaljevic, Rade
In some recent papers the classical `splitting necklace theorem' is linked in an interesting way with a geometric `pattern avoidance problem'. We explore the topological constraints on the existence of a (relaxed) measurable coloring of R^d such that
Externí odkaz:
http://arxiv.org/abs/1305.7474
Autor:
Baralic, Djordje, Prvulovic, Branislav, Stojanovic, Gordana, Vrecica, Sinisa, Zivaljevic, Rade
Following Ghomi and Tabachnikov we study topological obstructions to totally skew embeddings of a smooth manifold M in Euclidean spaces. This problem is naturally related to the question of estimating the geometric dimension of the stable normal bund
Externí odkaz:
http://arxiv.org/abs/1005.3709