Baralić, Djordje

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  • Baralić, Djordje (3)
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Author's Bibliography

A simple permutoassociahedron

Baralić, Djordje; Ivanović, Jelena; Petrić, Zoran

(Elsevier B.V., 2019)

TY  - JOUR
AU  - Baralić, Djordje
AU  - Ivanović, Jelena
AU  - Petrić, Zoran
PY  - 2019
UR  - https://raf.arh.bg.ac.rs/handle/123456789/1163
AB  - In the early 1990s, a family of combinatorial CW-complexes named permutoassociahedra was introduced by Kapranov, and it was realised by Reiner and Ziegler as a family of convex polytopes. The polytopes in this family are “hybrids” of permutohedra and associahedra. Since permutohedra and associahedra are simple, it is natural to search for a family of simple permutoassociahedra, which is still adequate for a topological proof of Mac Lane’s coherence. This paper presents such a family.
PB  - Elsevier B.V.
T2  - Discrete mathematics
T1  - A simple permutoassociahedron
VL  - 342
IS  - 12
SP  - 111591
DO  - 10.1016/j.disc.2019.07.007
ER  - 
@article{
author = "Baralić, Djordje and Ivanović, Jelena and Petrić, Zoran",
year = "2019",
abstract = "In the early 1990s, a family of combinatorial CW-complexes named permutoassociahedra was introduced by Kapranov, and it was realised by Reiner and Ziegler as a family of convex polytopes. The polytopes in this family are “hybrids” of permutohedra and associahedra. Since permutohedra and associahedra are simple, it is natural to search for a family of simple permutoassociahedra, which is still adequate for a topological proof of Mac Lane’s coherence. This paper presents such a family.",
publisher = "Elsevier B.V.",
journal = "Discrete mathematics",
title = "A simple permutoassociahedron",
volume = "342",
number = "12",
pages = "111591",
doi = "10.1016/j.disc.2019.07.007"
}
Baralić, D., Ivanović, J.,& Petrić, Z.. (2019). A simple permutoassociahedron. in Discrete mathematics
Elsevier B.V.., 342(12), 111591.
https://doi.org/10.1016/j.disc.2019.07.007
Baralić D, Ivanović J, Petrić Z. A simple permutoassociahedron. in Discrete mathematics. 2019;342(12):111591.
doi:10.1016/j.disc.2019.07.007 .
Baralić, Djordje, Ivanović, Jelena, Petrić, Zoran, "A simple permutoassociahedron" in Discrete mathematics, 342, no. 12 (2019):111591,
https://doi.org/10.1016/j.disc.2019.07.007 . .
3
3

A simple permutoassociahedron

Baralić, Djordje; Ivanović, Jelena; Petrić, Zoran

(Elsevier B.V., 2019)

TY  - JOUR
AU  - Baralić, Djordje
AU  - Ivanović, Jelena
AU  - Petrić, Zoran
PY  - 2019
UR  - https://raf.arh.bg.ac.rs/handle/123456789/1161
AB  - In the early 1990s, a family of combinatorial CW-complexes named permutoassociahedra was introduced by Kapranov, and it was realised by Reiner and Ziegler as a family of convex polytopes. The polytopes in this family are “hybrids” of permutohedra and associahedra. Since permutohedra and associahedra are simple, it is natural to search for a family of simple permutoassociahedra, which is still adequate for a topological proof of Mac Lane’s coherence. This paper presents such a family.
PB  - Elsevier B.V.
T2  - Discrete Mathematics
T1  - A simple permutoassociahedron
VL  - 342
IS  - 12
DO  - 10.1016/j.disc.2019.07.007
ER  - 
@article{
author = "Baralić, Djordje and Ivanović, Jelena and Petrić, Zoran",
year = "2019",
abstract = "In the early 1990s, a family of combinatorial CW-complexes named permutoassociahedra was introduced by Kapranov, and it was realised by Reiner and Ziegler as a family of convex polytopes. The polytopes in this family are “hybrids” of permutohedra and associahedra. Since permutohedra and associahedra are simple, it is natural to search for a family of simple permutoassociahedra, which is still adequate for a topological proof of Mac Lane’s coherence. This paper presents such a family.",
publisher = "Elsevier B.V.",
journal = "Discrete Mathematics",
title = "A simple permutoassociahedron",
volume = "342",
number = "12",
doi = "10.1016/j.disc.2019.07.007"
}
Baralić, D., Ivanović, J.,& Petrić, Z.. (2019). A simple permutoassociahedron. in Discrete Mathematics
Elsevier B.V.., 342(12).
https://doi.org/10.1016/j.disc.2019.07.007
Baralić D, Ivanović J, Petrić Z. A simple permutoassociahedron. in Discrete Mathematics. 2019;342(12).
doi:10.1016/j.disc.2019.07.007 .
Baralić, Djordje, Ivanović, Jelena, Petrić, Zoran, "A simple permutoassociahedron" in Discrete Mathematics, 342, no. 12 (2019),
https://doi.org/10.1016/j.disc.2019.07.007 . .
3
3

Facet colouring of nestohedra

Baralić, Djordje; Petrić, Zoran; Ivanović, Jelena; Telebaković Onić, Sonja

(Faculty of Natural Sciences and Mathematics in Podgorica, 2019)

TY  - CONF
AU  - Baralić, Djordje
AU  - Petrić, Zoran
AU  - Ivanović, Jelena
AU  - Telebaković Onić, Sonja
PY  - 2019
UR  - https://raf.arh.bg.ac.rs/handle/123456789/1174
AB  - A proper colouring of a polytope is a surjective function from the set of facetsto a set ofmcolours such that every two facets associated with the same colour areseparated, i.e. have no vertex in common. The chromatic number of a polytope is theminimalmsuch that there exists a proper colouring of its facets inmcolours.  Thistalk  presents  the  chromatic  numbers  of  associahedra  and  some  others  interestingmembers of the family of nestohedra.
PB  - Faculty of Natural Sciences and Mathematics in Podgorica
PB  - Mathematical Institute of the Serbian Academy of Sciences and Arts
PB  - Faculty of Mathematics in Belgrade
PB  - Matica srpska - Association of Members in Montenegro
PB  - Mathematical Forum of Montenegro
C3  - Mathematical Meeting of Serbia and Montenegro 2019
T1  - Facet colouring of nestohedra
SP  - 5
EP  - 5
UR  - https://hdl.handle.net/21.15107/rcub_raf_1174
ER  - 
@conference{
author = "Baralić, Djordje and Petrić, Zoran and Ivanović, Jelena and Telebaković Onić, Sonja",
year = "2019",
abstract = "A proper colouring of a polytope is a surjective function from the set of facetsto a set ofmcolours such that every two facets associated with the same colour areseparated, i.e. have no vertex in common. The chromatic number of a polytope is theminimalmsuch that there exists a proper colouring of its facets inmcolours.  Thistalk  presents  the  chromatic  numbers  of  associahedra  and  some  others  interestingmembers of the family of nestohedra.",
publisher = "Faculty of Natural Sciences and Mathematics in Podgorica, Mathematical Institute of the Serbian Academy of Sciences and Arts, Faculty of Mathematics in Belgrade, Matica srpska - Association of Members in Montenegro, Mathematical Forum of Montenegro",
journal = "Mathematical Meeting of Serbia and Montenegro 2019",
title = "Facet colouring of nestohedra",
pages = "5-5",
url = "https://hdl.handle.net/21.15107/rcub_raf_1174"
}
Baralić, D., Petrić, Z., Ivanović, J.,& Telebaković Onić, S.. (2019). Facet colouring of nestohedra. in Mathematical Meeting of Serbia and Montenegro 2019
Faculty of Natural Sciences and Mathematics in Podgorica., 5-5.
https://hdl.handle.net/21.15107/rcub_raf_1174
Baralić D, Petrić Z, Ivanović J, Telebaković Onić S. Facet colouring of nestohedra. in Mathematical Meeting of Serbia and Montenegro 2019. 2019;:5-5.
https://hdl.handle.net/21.15107/rcub_raf_1174 .
Baralić, Djordje, Petrić, Zoran, Ivanović, Jelena, Telebaković Onić, Sonja, "Facet colouring of nestohedra" in Mathematical Meeting of Serbia and Montenegro 2019 (2019):5-5,
https://hdl.handle.net/21.15107/rcub_raf_1174 .