HLINĚNÝ, Petr and Martin DERKA. Planar Emulators Conjecture Is Nearly True for Cubic Graphs. In J. Nešetřil, M. Pellegrini. The Seventh European Conference on Combinatorics, Graph Theory and Applications - Eurocomb 2013. Pisa, Italy: Scuola Normale Superiore Pisa, 2013, p. 245-250. ISBN 978-88-7642-474-8.
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Basic information
Original name Planar Emulators Conjecture Is Nearly True for Cubic Graphs
Name in Czech Hypotéza rovinných emulátorů je skoro pravdivá na kubických grafech
Authors HLINĚNÝ, Petr (203 Czech Republic, guarantor, belonging to the institution) and Martin DERKA (203 Czech Republic, belonging to the institution).
Edition Pisa, Italy, The Seventh European Conference on Combinatorics, Graph Theory and Applications - Eurocomb 2013, p. 245-250, 6 pp. 2013.
Publisher Scuola Normale Superiore Pisa
Other information
Original language English
Type of outcome Proceedings paper
Field of Study 10101 Pure mathematics
Country of publisher Italy
Confidentiality degree is not subject to a state or trade secret
Publication form printed version "print"
WWW conference
RIV identification code RIV/00216224:14330/13:00066368
Organization unit Faculty of Informatics
ISBN 978-88-7642-474-8
Keywords in English planar cover; planar emulator; projective planar; splitter theorem
Tags formela-conference
Tags International impact, Reviewed
Changed by Changed by: prof. RNDr. Petr Hliněný, Ph.D., učo 168881. Changed: 21/11/2013 17:40.
Abstract
We prove that a cubic nonprojective graph cannot have a finite planar emulator, unless one of two very special cases happen (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)
Dokazujeme, že neprojektivní kubický graf nemůže mít rovinný emulátor až na dva speciální případy. Tím hypotéza emulátorů, obecně vyvrácená v 2008, je naopak téměř dokázána v tomto speciálním případě.
Links
GBP202/12/G061, research and development projectName: Centrum excelence - Institut teoretické informatiky (CE-ITI) (Acronym: CE-ITI)
Investor: Czech Science Foundation
MUNI/A/0739/2012, interní kód MUName: Zapojení studentů Fakulty informatiky do mezinárodní vědecké komunity (Acronym: SKOMU)
Investor: Masaryk University, Category A
MUNI/A/0760/2012, interní kód MUName: Rozsáhlé výpočetní systémy: modely, aplikace a verifikace II. (Acronym: FI MAV II.)
Investor: Masaryk University, Category A
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