On the advice complexity of coloring bipartite graphs and two-colorable hypergraphs

Nagy-György Judit: On the advice complexity of coloring bipartite graphs and two-colorable hypergraphs. In: Acta cybernetica, (23) 3. pp. 929-938. (2018)

[thumbnail of actacyb_23_3_2018_13.pdf]
Cikk, tanulmány, mű

Download (344kB) | Preview


In the online coloring problem the vertices are revealed one by one to an online algorithm, which has to color them immediately as they appear. The advice complexity attempts to measure how much knowledge of the future is neccessary to achieve a given competitive ratio. Here, we examine coloring of bipartite graphs, proper and the conflict-free coloring of k-uniform hypergraphs and we provide lower and upper bounds for the number of bits of advice to achieve the optimal cost. For bipartite graphs the upper bound n − 2 is tight. For the proper coloring, n − 2k bits are necessary and n − 2 bits are sufficient, while for the conflict-free coloring case n − 2 bits of advice are neccessary and sufficient to color optimally if k > 3.

Item Type: Article
Journal or Publication Title: Acta cybernetica
Date: 2018
Volume: 23
Number: 3
ISSN: 0324-721X
Page Range: pp. 929-938
Language: English
Place of Publication: Szeged
Related URLs: http://acta.bibl.u-szeged.hu/55467/
Uncontrolled Keywords: Hipergráf, Gráf
Additional Information: Bibliogr.: p. 937-938. ; összefoglalás angol nyelven
Subjects: 01. Natural sciences
01. Natural sciences > 01.01. Mathematics
01. Natural sciences > 01.02. Computer and information sciences
Date Deposited: 2018. Nov. 08. 09:04
Last Modified: 2022. Jun. 21. 08:31
URI: http://acta.bibl.u-szeged.hu/id/eprint/55686

Actions (login required)

View Item View Item