Zobrazeno 1 - 10
of 47
pro vyhledávání: '"Baralić, Djordje"'
We investigate the mod $p$ Buchstaber invariant of the skeleta of simplices, for a prime number $p$, and compare them for different values of $p$. For $p=2$, the invariant is the real Buchstaber invariant. Our findings reveal that these values are ge
Externí odkaz:
http://arxiv.org/abs/2312.03010
The chromatic number related to a colouring of facets of certain classes of generalised associahedra is studied. The exact values are obtained for permutohedra, associahedra and simple permutoassociahedra, while lower and upper bounds are established
Externí odkaz:
http://arxiv.org/abs/2311.05901
The focus of this paper is on the study of specific circle formations known as orthogonal Pappus chains and the related incidence results that involve points of tangency between the circles in the construction. These chains give rise to new circle fa
Externí odkaz:
http://arxiv.org/abs/2311.05895
Autor:
Baralic, Djordje, Milenkovic, Lazar
We present a configuration called a magic permutohedron that shows the placement of the numbers of $\{1, 2, 3, \dots, 24\}$ in the vertices of the permutohedra so that the sum of numbers on each square side is 50 and the sum of the numbers in each he
Externí odkaz:
http://arxiv.org/abs/2302.13174
Autor:
Baralic, Djordje
The chromatic number for properly colouring the facets of a combinatorial simple $n$-polytope $P^n$ that is the orbit space of a quasitoric manifold satisfies the inequality $n\leq P^n\leq 2^n-1$. The inequality is sharp for $n=2$ but not for $n=3$ d
Externí odkaz:
http://arxiv.org/abs/2302.04590
Autor:
Baralić, Djordje1 (AUTHOR) djbaralic@mi.sanu.ac.rs, Milenković, Lazar2 (AUTHOR)
Publikováno v:
Mathematical Intelligencer. Sep2024, Vol. 46 Issue 3, p260-263. 4p.
We study combinatorial and topological properties of the universal complexes $X(\mathbb{F}_p^n)$ and $K(\mathbb{F}_p^n)$ whose simplices are certain unimodular subsets of $\mathbb{F}_p^n$. We calculate their $\mathbf f$-vectors and their Tor-algebras
Externí odkaz:
http://arxiv.org/abs/2211.14937
Autor:
Lidjan, Edin, Baralic, Djordje
The homology group of a tiling introduced by M. Reid is studied for certain topological tilings. As in the planar case, for finite square grids on topological surfaces, the method of homology groups, namely the non-triviality of some specific element
Externí odkaz:
http://arxiv.org/abs/2103.04404
Autor:
Baralić, Djordje, Limic, Vlada
This note announces recent exciting progress on the frontier between algebraic topology and probability theory. It is intended for a journal which publishes such announcements (without an abstract, typically in Russian). A description of a larger wor
Externí odkaz:
http://arxiv.org/abs/2001.02105
Autor:
Baralic, Djordje, Curien, Pierre-Louis, Milicevic, Marina, Obradovic, Jovana, Petric, Zoran, Zekic, Mladen, Zivaljevic, Rade T.
A formal sequent system dealing with Menelaus' configurations is introduced in this paper. The axiomatic sequents of the system stem from 2-cycles of Delta-complexes. The Euclidean and projective interpretations of the sequents are defined and a soun
Externí odkaz:
http://arxiv.org/abs/1907.02949