DERKA, Martin and Petr HLINĚNÝ. Planar Emulators Conjecture Is Nearly True for Cubic Graphs. European Journal of Combinatorics. Elsevier, 2015, vol. 48, No 1, p. 63-70. ISSN 0195-6698. Available from: https://dx.doi.org/10.1016/j.ejc.2015.02.009.
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Basic information
Original name Planar Emulators Conjecture Is Nearly True for Cubic Graphs
Authors DERKA, Martin (203 Czech Republic, belonging to the institution) and Petr HLINĚNÝ (203 Czech Republic, guarantor, belonging to the institution).
Edition European Journal of Combinatorics, Elsevier, 2015, 0195-6698.
Other information
Original language English
Type of outcome Article in a journal
Field of Study 10101 Pure mathematics
Country of publisher Netherlands
Confidentiality degree is not subject to a state or trade secret
Impact factor Impact factor: 0.650
RIV identification code RIV/00216224:14330/15:00080608
Organization unit Faculty of Informatics
Doi http://dx.doi.org/10.1016/j.ejc.2015.02.009
UT WoS 000355041300007
Keywords in English planar emulator; projective planar graph; graph minor
Tags formela-journal
Tags International impact, Reviewed
Changed by Changed by: prof. RNDr. Petr Hliněný, Ph.D., učo 168881. Changed: 30/3/2016 09:43.
Abstract
We prove that a cubic nonprojective graph cannot have a finite planar emulator, unless it belongs to one of two very special cases (in which the answer is open). This shows that Fellows' planar emulator conjecture, disproved for general graphs by Rieck and Yamashita in 2008, is nearly true on cubic graphs, and might very well be true there definitely.
Abstract (in Czech)
Dokážeme, že již obecně vyvrácená Fellowsova hypotéza o rovinných emulátorech je téměř pravdivá pro kubické grafy.
Links
GBP202/12/G061, research and development projectName: Centrum excelence - Institut teoretické informatiky (CE-ITI) (Acronym: CE-ITI)
Investor: Czech Science Foundation
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