Online Chromatic Number is PSPACE-Complete

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216208%3A11320%2F18%3A10386479" target="_blank" >RIV/00216208:11320/18:10386479 - isvavai.cz</a>
Result on the web
<a href="https://doi.org/10.1007/s00224-017-9797-2" target="_blank" >https://doi.org/10.1007/s00224-017-9797-2</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1007/s00224-017-9797-2" target="_blank" >10.1007/s00224-017-9797-2</a>

Result language
angličtina
Original language name
Online Chromatic Number is PSPACE-Complete
Original language description
In the online graph coloring problem, vertices from a graph G, known in advance, arrive in an online fashion and an algorithm must immediately assign a color to each incoming vertex v so that the revealed graph is properly colored. The exact location of v in the graph G is not known to the algorithm, since it sees only previously colored neighbors of v. The online chromatic number of G is the smallest number of colors such that some online algorithm is able to properly color G for any incoming order. We prove that computing the online chromatic number of a graph is PSPACE-complete.
Czech name
—
Czech description
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Type
J<sub>imp</sub> - Article in a specialist periodical, which is included in the Web of Science database
CEP classification
—
OECD FORD branch
10201 - Computer sciences, information science, bioinformathics (hardware development to be 2.2, social aspect to be 5.8)

Project
<a href="/en/project/GA17-09142S" target="_blank" >GA17-09142S: Modern algorithms: New challenges of complex data sets</a><br>
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)

Publication year
2018
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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