Zobrazeno 1 - 10
of 18
pro vyhledávání: '"Duško Jojić"'
Publikováno v:
Izvestiya: Mathematics. 86:275-290
We prove amultiple coloured Tverberg theoremand abalanced coloured Tverberg theorem, applying different methods, tools and ideas. The proof of the first theorem uses a multiple chessboard complex (as configuration space) and the Eilenberg–Krasnosel
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::a6ad4317c8e20da9febe4417e88299af
https://doi.org/10.1070/im9024
https://doi.org/10.1070/im9024
Publikováno v:
Israel Journal of Mathematics. 241:17-36
We prove that the symmetrized deleted join SymmDelJoin( $$\mathcal{K}$$ ) of a “balanced family” $$\mathcal{K}$$ = 〈Ki〉 =1 of collectively r-unavoidable subcomplexes of 2[m] is (m−r−1)-connected. As a consequence we obtain a Tverberg-Van
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::958296165d7a02f5e48d184484e9b283
https://doi.org/10.1007/s11856-021-2087-3
https://doi.org/10.1007/s11856-021-2087-3
Autor:
Duško Jojić
Publikováno v:
Ars Mathematica Contemporanea. 22:#P1.03
Ehrenborg noted that all tilings of a bipartite planar graph are encoded by its cubical matching complex and claimed that this complex is collapsible. We point out to an oversight in his proof and explain why these complexes can be the disjoint union
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::fd3d83a303c1b9ab449d9103af50d341
https://doi.org/10.26493/1855-3974.1988.220
https://doi.org/10.26493/1855-3974.1988.220
Publikováno v:
Journal of Fixed Point Theory and Applications. 22
The partition invariant $$\pi (K)$$ of a simplicial complex $$K\subseteq 2^{[m]}$$ is the minimum integer $$\nu $$, such that for each partition $$A_1\uplus \cdots \uplus A_\nu = [m]$$ of [m], at least one of the sets $$A_i$$ is in K. A complex K is
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::c62f86b48aeb01706194e8fb4d21b519
https://doi.org/10.1007/s11784-020-0763-2
https://doi.org/10.1007/s11784-020-0763-2
Publikováno v:
Journal of Algebraic Combinatorics. 46:15-31
We prove a new theorem of Tverberg–van Kampen–Flores type, which confirms a conjecture of Blagojevic et al. about the existence of ‘balanced Tverberg partitions’ (Conjecture 6.6 in [Tverberg plus constraints, Bull. London Math. Soc. 46:953–
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::7dc414e461a7bfafa0290894a73f43fd
https://doi.org/10.1007/s10801-017-0743-9
https://doi.org/10.1007/s10801-017-0743-9
We prove several versions of N. Alon's "necklace-splitting theorem", subject to additional constraints, as illustrated by the following results. (1) The "almost equicardinal necklace-splitting theorem" claims that, without increasing the number of cu
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::c92e05de3537369306c4a42f949d03cf
Autor:
Duško Jojić
Publikováno v:
Linear Algebra and its Applications. 495:108-121
For a given tree T we consider the facial structure of the acyclic Birkhoff polytope Ω ( T ) . We also determine the f-vector of the polytope Ω n t consisting of all tridiagonal doubly stochastic matrices of order n. Finally, we count the number of
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::0b3b12ca7ce9b7ec776a422e5c3fecb1
https://doi.org/10.1016/j.laa.2016.01.035
https://doi.org/10.1016/j.laa.2016.01.035
Publikováno v:
European Journal of Mathematics. 2:459-473
The generalized Dehn–Sommerville relations determine the odd subalgebra of the combinatorial Hopf algebra. We introduce a class of eulerian hypergraphs that satisfy the generalized Dehn–Sommerville relations for the combinatorial Hopf algebra of
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::2065688f764bca5c4e5ecc0c9be435aa
https://doi.org/10.1007/s40879-015-0089-6
https://doi.org/10.1007/s40879-015-0089-6
We introduce and study Alexander $r$-Tuples $\mathcal{K} = \langle K_i \rangle ^r_{i=1}$ of simplicial complexes, as a common generalization of pairs of Alexander dual complexes (Alexander 2-tuples) and r-unavoidable complexes of [BFZ-1]. In the same
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::647f483354601ba1b3abbdaaf81b1de4
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:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::88aa0883e49b4c22a56aecdec1676da4