Zobrazeno 1 - 10
of 31
pro vyhledávání: '"Rade T. Živaljević"'
Autor:
Gaiane Panina, Rade T. Živaljević
Publikováno v:
Topological Methods in Nonlinear Analysis. :1-24
The classical approach to envy-free division and equilibrium problems arising in mathematical economics typically relies on Knaster-Kuratowski-Mazurkiewicz theorem, Sperner's lemma or some extension involving mapping degree. We propose a different an
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::694b6cc65def31720a94229520cac803
https://doi.org/10.12775/tmna.2022.036
https://doi.org/10.12775/tmna.2022.036
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
Publikováno v:
Discrete & Computational Geometry. 65:1275-1286
The problem of deciding if a given triangulation of a sphere can be realized as the boundary sphere of a simplicial, convex polytope is known as the ‘Simplicial Steinitz problem’. It is known by an indirect and non-constructive argument that a va
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::5378eb974968b042204d797a9ccafeb5
https://doi.org/10.1007/s00454-019-00151-5
https://doi.org/10.1007/s00454-019-00151-5
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
Autor:
Rade T. Živaljević, Jovana Obradović, Zoran Petric, Djordje Baralic, Marina Milicevic, Pierre-Louis Curien, Mladen Zekic
Publikováno v:
Annals of Pure and Applied Logic
Annals of Pure and Applied Logic, Elsevier Masson, 2020, 171 (9), ⟨10.1016/j.apal.2020.102845⟩
Annals of Pure and Applied Logic, 2020, 171 (9), ⟨10.1016/j.apal.2020.102845⟩
Annals of Pure and Applied Logic, Elsevier Masson, 2020, 171 (9), ⟨10.1016/j.apal.2020.102845⟩
Annals of Pure and Applied Logic, 2020, 171 (9), ⟨10.1016/j.apal.2020.102845⟩
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:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::609469b24d9347e7a5dc8155ba255740
https://hal.archives-ouvertes.fr/hal-02410910
https://hal.archives-ouvertes.fr/hal-02410910
Publikováno v:
Arnold Mathematical Journal. 4:87-112
We show that the cyclohedron (Bott–Taubes polytope) $$W_n$$ arises as the polar dual of a Kantorovich–Rubinstein polytope $$KR(\rho )$$ , where $$\rho $$ is an explicitly described quasi-metric (asymmetric distance function) satisfying strict tri
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::790973d902c44b99b7e9e1890c744416
https://doi.org/10.1007/s40598-018-0083-4
https://doi.org/10.1007/s40598-018-0083-4
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
Autor:
Đorđe Baralić, Rade T. Živaljević
Publikováno v:
Journal of Combinatorial Theory, Series A. 146:295-311
Following and developing ideas of R. Karasev (2014) [10] , we extend the Lebesgue theorem (on covers of cubes) and the Knaster–Kuratowski–Mazurkiewicz theorem (on covers of simplices) to different classes of convex polytopes (colored in the sense
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::cc3c7492f7ff7d74e04c392debcbf37d
https://doi.org/10.1016/j.jcta.2016.10.002
https://doi.org/10.1016/j.jcta.2016.10.002
Autor:
Rade T. Živaljević
Publikováno v:
Computational Geometry. 48:225-236
Illumination complexes are examples of ‘flat polyhedral complexes’ which arise if several copies of a convex polyhedron (convex body) Q are glued together along some of their common faces (closed convex subsets of their boundaries). A particularl
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::ff42b7b8269d5905059287d54024b13a
https://doi.org/10.1016/j.comgeo.2014.10.003
https://doi.org/10.1016/j.comgeo.2014.10.003