Non-monochromatic and conflict-free coloring on tree spaces and planar network spaces

Boris Aronov; Mark de Berg; Aleksandar Markovic; Gerhard Woeginger

doi:10.1007/978-3-319-94776-1_47

Non-monochromatic and conflict-free coloring on tree spaces and planar network spaces

Boris Aronov
, Mark de Berg
, Aleksandar Markovic
, Gerhard Woeginger

Onderzoeksoutput: Hoofdstuk in Boek/Rapport/Congresprocedure › Conferentiebijdrage › Academic › peer review

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It is well known that any set of n intervals in (Formula Presented) admits a non-monochromatic coloring with two colors and a conflict-free coloring with three colors. We investigate generalizations of this result to colorings of objects in more complex 1-dimensional spaces, namely so-called tree spaces and planar network spaces.

Originele taal-2	Engels
Titel	Computing and Combinatorics - 24th International Conference, COCOON 2018, Proceedings
Redacteuren	Daming Zhu, Lusheng Wang
Uitgeverij	Springer
Pagina's	567-578
Aantal pagina's	12
ISBN van geprinte versie	9783319947754
DOI's	https://doi.org/10.1007/978-3-319-94776-1_47
Status	Gepubliceerd - 29 jun 2018
Evenement	24th International Conference on Computing and Combinatorics Conference, COCOON 2018 - Qing Dao, China Duur: 2 jul 2018 → 4 jul 2018

Publicatie series

Naam	Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)
Volume	10976 LNCS
ISSN van geprinte versie	0302-9743
ISSN van elektronische versie	1611-3349

Congres

Congres	24th International Conference on Computing and Combinatorics Conference, COCOON 2018
Land/Regio	China
Stad	Qing Dao
Periode	2/07/18 → 4/07/18

Financiering

BA has been partially supported by NSF Grants CCF-11-17336, CCF-12-18791, and CCF-15-40656, and by BSF grant 2014/170. MdB and AM are supported by the Netherlands’ Organisation for Scientific Research (NWO) under project no. 024.002.003.

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10.1007/978-3-319-94776-1_47

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Aronov, B., de Berg, M., Markovic, A., & Woeginger, G. (2018). Non-monochromatic and conflict-free coloring on tree spaces and planar network spaces. In D. Zhu, & L. Wang (editors), Computing and Combinatorics - 24th International Conference, COCOON 2018, Proceedings (blz. 567-578). (Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics); Vol. 10976 LNCS). Springer. https://doi.org/10.1007/978-3-319-94776-1_47

Aronov, Boris ; de Berg, Mark ; Markovic, Aleksandar et al. / Non-monochromatic and conflict-free coloring on tree spaces and planar network spaces. Computing and Combinatorics - 24th International Conference, COCOON 2018, Proceedings. redacteur / Daming Zhu ; Lusheng Wang. Springer, 2018. blz. 567-578 (Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)).

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title = "Non-monochromatic and conflict-free coloring on tree spaces and planar network spaces",

abstract = "It is well known that any set of n intervals in (Formula Presented) admits a non-monochromatic coloring with two colors and a conflict-free coloring with three colors. We investigate generalizations of this result to colorings of objects in more complex 1-dimensional spaces, namely so-called tree spaces and planar network spaces.",

author = "Boris Aronov and \{de Berg\}, Mark and Aleksandar Markovic and Gerhard Woeginger",

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isbn = "9783319947754",

series = "Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)",

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note = "24th International Conference on Computing and Combinatorics Conference, COCOON 2018 ; Conference date: 02-07-2018 Through 04-07-2018",

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Aronov, B, de Berg, M, Markovic, A & Woeginger, G 2018, Non-monochromatic and conflict-free coloring on tree spaces and planar network spaces. in D Zhu & L Wang (reds.), Computing and Combinatorics - 24th International Conference, COCOON 2018, Proceedings. Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics), vol. 10976 LNCS, Springer, blz. 567-578, 24th International Conference on Computing and Combinatorics Conference, COCOON 2018, Qing Dao, China, 2/07/18. https://doi.org/10.1007/978-3-319-94776-1_47

Non-monochromatic and conflict-free coloring on tree spaces and planar network spaces. / Aronov, Boris; de Berg, Mark; Markovic, Aleksandar et al.
Computing and Combinatorics - 24th International Conference, COCOON 2018, Proceedings. reds. / Daming Zhu; Lusheng Wang. Springer, 2018. blz. 567-578 (Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics); Vol. 10976 LNCS).

Onderzoeksoutput: Hoofdstuk in Boek/Rapport/Congresprocedure › Conferentiebijdrage › Academic › peer review

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PY - 2018/6/29

Y1 - 2018/6/29

N2 - It is well known that any set of n intervals in (Formula Presented) admits a non-monochromatic coloring with two colors and a conflict-free coloring with three colors. We investigate generalizations of this result to colorings of objects in more complex 1-dimensional spaces, namely so-called tree spaces and planar network spaces.

AB - It is well known that any set of n intervals in (Formula Presented) admits a non-monochromatic coloring with two colors and a conflict-free coloring with three colors. We investigate generalizations of this result to colorings of objects in more complex 1-dimensional spaces, namely so-called tree spaces and planar network spaces.

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T3 - Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)

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Aronov B, de Berg M, Markovic A, Woeginger G. Non-monochromatic and conflict-free coloring on tree spaces and planar network spaces. In Zhu D, Wang L, redacteurs, Computing and Combinatorics - 24th International Conference, COCOON 2018, Proceedings. Springer. 2018. blz. 567-578. (Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)). doi: 10.1007/978-3-319-94776-1_47

Non-monochromatic and conflict-free coloring on tree spaces and planar network spaces

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