Restricted extension of sparse partial edge colorings of hypercubes
We consider the following type of question: Given a partial proper $d$-edge coloring of the $d$-dimensional hypercube $Q_d$, and lists of allowed colors for the non-colored edges of $Q_d$,can we extend the partial coloring to a proper $d$-edge coloring using only colors from the lists? We prove that...
Gespeichert in:
| Hauptverfasser: | , , |
|---|---|
| Format: | Artikel |
| Sprache: | eng |
| Schlagworte: | |
| Online-Zugang: | Volltext bestellen |
| Tags: |
Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
|
| container_end_page | |
|---|---|
| container_issue | |
| container_start_page | |
| container_title | |
| container_volume | |
| creator | Casselgren, C. J Markström, K Pham, L. A |
| description | We consider the following type of question: Given a partial proper $d$-edge
coloring of the $d$-dimensional hypercube $Q_d$, and lists of allowed colors
for the non-colored edges of $Q_d$,can we extend the partial coloring to a
proper $d$-edge coloring using only colors from the lists? We prove that this
question has a positive answer in the case when both the partial coloring and
the color lists satisfy certain sparsity conditions. |
| doi_str_mv | 10.48550/arxiv.1711.01073 |
| format | Article |
| fullrecord | <record><control><sourceid>arxiv_GOX</sourceid><recordid>TN_cdi_arxiv_primary_1711_01073</recordid><sourceformat>XML</sourceformat><sourcesystem>PC</sourcesystem><sourcerecordid>1711_01073</sourcerecordid><originalsourceid>FETCH-LOGICAL-a673-230f1879b017fd1fb527466e0827e401a0d18f17bb3a9da76110ebf96a8d7c963</originalsourceid><addsrcrecordid>eNotz81KxDAUBeBsXMjoA7gyL9Ca27S56VKKfzAgDLMvN83NGKhtSarMvL3O6OaczeHAJ8QdqLK2TaMeKB3jdwkIUCpQqK9Ft-O8pjis7CUfV55ynCc5B5kXSpnlb66RRsn-wHKYxznF6ZDPg4_Twmn4cpxvxFWgMfPtf2_E_vlp370W2_eXt-5xW5BBXVRaBbDYOgUYPATXVFgbw8pWyLUCUh5sAHROU-sJDYBiF1pD1uPQGr0R93-3F0W_pPhJ6dSfNf1Fo38ASxpFDQ</addsrcrecordid><sourcetype>Open Access Repository</sourcetype><iscdi>true</iscdi><recordtype>article</recordtype></control><display><type>article</type><title>Restricted extension of sparse partial edge colorings of hypercubes</title><source>arXiv.org</source><creator>Casselgren, C. J ; Markström, K ; Pham, L. A</creator><creatorcontrib>Casselgren, C. J ; Markström, K ; Pham, L. A</creatorcontrib><description>We consider the following type of question: Given a partial proper $d$-edge
coloring of the $d$-dimensional hypercube $Q_d$, and lists of allowed colors
for the non-colored edges of $Q_d$,can we extend the partial coloring to a
proper $d$-edge coloring using only colors from the lists? We prove that this
question has a positive answer in the case when both the partial coloring and
the color lists satisfy certain sparsity conditions.</description><identifier>DOI: 10.48550/arxiv.1711.01073</identifier><language>eng</language><subject>Mathematics - Combinatorics</subject><creationdate>2017-11</creationdate><rights>http://arxiv.org/licenses/nonexclusive-distrib/1.0</rights><oa>free_for_read</oa><woscitedreferencessubscribed>false</woscitedreferencessubscribed></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><link.rule.ids>228,230,780,885</link.rule.ids><linktorsrc>$$Uhttps://arxiv.org/abs/1711.01073$$EView_record_in_Cornell_University$$FView_record_in_$$GCornell_University$$Hfree_for_read</linktorsrc><backlink>$$Uhttps://doi.org/10.48550/arXiv.1711.01073$$DView paper in arXiv$$Hfree_for_read</backlink></links><search><creatorcontrib>Casselgren, C. J</creatorcontrib><creatorcontrib>Markström, K</creatorcontrib><creatorcontrib>Pham, L. A</creatorcontrib><title>Restricted extension of sparse partial edge colorings of hypercubes</title><description>We consider the following type of question: Given a partial proper $d$-edge
coloring of the $d$-dimensional hypercube $Q_d$, and lists of allowed colors
for the non-colored edges of $Q_d$,can we extend the partial coloring to a
proper $d$-edge coloring using only colors from the lists? We prove that this
question has a positive answer in the case when both the partial coloring and
the color lists satisfy certain sparsity conditions.</description><subject>Mathematics - Combinatorics</subject><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2017</creationdate><recordtype>article</recordtype><sourceid>GOX</sourceid><recordid>eNotz81KxDAUBeBsXMjoA7gyL9Ca27S56VKKfzAgDLMvN83NGKhtSarMvL3O6OaczeHAJ8QdqLK2TaMeKB3jdwkIUCpQqK9Ft-O8pjis7CUfV55ynCc5B5kXSpnlb66RRsn-wHKYxznF6ZDPg4_Twmn4cpxvxFWgMfPtf2_E_vlp370W2_eXt-5xW5BBXVRaBbDYOgUYPATXVFgbw8pWyLUCUh5sAHROU-sJDYBiF1pD1uPQGr0R93-3F0W_pPhJ6dSfNf1Fo38ASxpFDQ</recordid><startdate>20171103</startdate><enddate>20171103</enddate><creator>Casselgren, C. J</creator><creator>Markström, K</creator><creator>Pham, L. A</creator><scope>AKZ</scope><scope>GOX</scope></search><sort><creationdate>20171103</creationdate><title>Restricted extension of sparse partial edge colorings of hypercubes</title><author>Casselgren, C. J ; Markström, K ; Pham, L. A</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-a673-230f1879b017fd1fb527466e0827e401a0d18f17bb3a9da76110ebf96a8d7c963</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2017</creationdate><topic>Mathematics - Combinatorics</topic><toplevel>online_resources</toplevel><creatorcontrib>Casselgren, C. J</creatorcontrib><creatorcontrib>Markström, K</creatorcontrib><creatorcontrib>Pham, L. A</creatorcontrib><collection>arXiv Mathematics</collection><collection>arXiv.org</collection></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext_linktorsrc</fulltext></delivery><addata><au>Casselgren, C. J</au><au>Markström, K</au><au>Pham, L. A</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>Restricted extension of sparse partial edge colorings of hypercubes</atitle><date>2017-11-03</date><risdate>2017</risdate><abstract>We consider the following type of question: Given a partial proper $d$-edge
coloring of the $d$-dimensional hypercube $Q_d$, and lists of allowed colors
for the non-colored edges of $Q_d$,can we extend the partial coloring to a
proper $d$-edge coloring using only colors from the lists? We prove that this
question has a positive answer in the case when both the partial coloring and
the color lists satisfy certain sparsity conditions.</abstract><doi>10.48550/arxiv.1711.01073</doi><oa>free_for_read</oa></addata></record> |
| fulltext | fulltext_linktorsrc |
| identifier | DOI: 10.48550/arxiv.1711.01073 |
| ispartof | |
| issn | |
| language | eng |
| recordid | cdi_arxiv_primary_1711_01073 |
| source | arXiv.org |
| subjects | Mathematics - Combinatorics |
| title | Restricted extension of sparse partial edge colorings of hypercubes |
| url | https://sfx.bib-bvb.de/sfx_tum?ctx_ver=Z39.88-2004&ctx_enc=info:ofi/enc:UTF-8&ctx_tim=2025-01-15T01%3A02%3A34IST&url_ver=Z39.88-2004&url_ctx_fmt=infofi/fmt:kev:mtx:ctx&rfr_id=info:sid/primo.exlibrisgroup.com:primo3-Article-arxiv_GOX&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.genre=article&rft.atitle=Restricted%20extension%20of%20sparse%20partial%20edge%20colorings%20of%20hypercubes&rft.au=Casselgren,%20C.%20J&rft.date=2017-11-03&rft_id=info:doi/10.48550/arxiv.1711.01073&rft_dat=%3Carxiv_GOX%3E1711_01073%3C/arxiv_GOX%3E%3Curl%3E%3C/url%3E&disable_directlink=true&sfx.directlink=off&sfx.report_link=0&rft_id=info:oai/&rft_id=info:pmid/&rfr_iscdi=true |