| Title: | Explicit homomorphisms of hexagonal graphs to one vertex deleted Petersen graph |
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| Authors: | Šparl, Petra (Author)
Žerovnik, Janez (Author) |
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| Files: |  http://hrcak.srce.hr/index.php?show=clanak&id_clanak_jezik=68552
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| Language: | English |
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| Work type: | Not categorized (r6) |
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| Typology: | 1.01 - Original Scientific Article |
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| Organization: | FOV - Faculty of Organizational Sciences in Kranj |
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| Abstract: | Problem odločanja ali obstaja homomorfizem iz poljubnega grafa ▫$G$▫ v dani graf ▫$H$▫ je bil že večkrat proučevan in se je izkazal za zelo težkega. Hell in Nešetril sta dokazala, da je odločitveni problem NP-poln, če ▫$H$▫ ni dvodelen graf. V članku je obravnavan poseben problem, kjer je ▫$G$▫ poljuben heksagonalen graf brez trikotnikov, ▫$H$▫ pa Kneserjev graf ali njegov inducirani podgraf. Podana je esplicitna konstrukcija, ki dokazuje obstoj homomorfizma iz poljubnega heksagonalnega grafa brez trikotnikov v Petersenov graf brez ene točke. |
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| Keywords: | matematika, teorija grafov, homomorfizem, H-barvanje, heksagonalen graf brez trikotnikov, mathematics, teorija grafov, homomorphism, H-coloring, triangle-free hexagonal graph |
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| Year of publishing: | 2009 |
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| Number of pages: | str. 391-398 |
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| Numbering: | Vol. 14, no. 2 |
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| UDC: | 519.17 |
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| ISSN on article: | 1331-0623 |
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| COBISS_ID: | 15524441  |
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| NUK URN: | URN:SI:UM:DK:WOPETDQH |
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| Views: | 387 |
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| Downloads: | 9 |
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| Metadata: |     |
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| Categories: | Misc.
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