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Finding a subdivision of a prescribed digraph of order 4Havet, Frédéric ; Maia, Ana Karolinna ; Mohar, Bojan, 1956-The problem of when a given digraph contains a subdivision of a fixed digraph ▫$F$▫ is considered. J. Bang-Jensen et al. [Theor. Comput. Sci. 562, 283--303 (2015)] laid out foundations for ... approaching this problem from the algorithmic point of view. In this article, we give further support to several open conjectures and speculations about algorithmic complexity of finding ▫$F$▫-subdivisions. In particular, up to five exceptions, we completely classify for which 4-vertex digraphs ▫$F$▫, the ▫$F$▫-subdivision problem is polynomial-time solvable and for which it is NP-complete. While all NP-hardness proofs are made by reduction from some version of the 2-linkage problem in digraphs, some of the polynomial-time solvable cases involve relatively complicated algorithms.Source: Journal of graph theory. - ISSN 0364-9024 (Vol. 87, iss. 4, April 2018, str. 536-560)Type of material - article, component part ; adult, seriousPublish date - 2018Language - englishCOBISS.SI-ID - 18466137
Author
Havet, Frédéric |
Maia, Ana Karolinna |
Mohar, Bojan, 1956-
Topics
digraphs |
linkages |
subdivisions
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Database name | Field | Year |
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Links to authors' personal bibliographies | Links to information on researchers in the SICRIS system |
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Havet, Frédéric | |
Maia, Ana Karolinna | |
Mohar, Bojan, 1956- | 01931 |
Source: Personal bibliographies
and: SICRIS
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