| Naslov: | How long can one bluff in the domination game? |
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| Avtorji: | ID Brešar, Boštjan (Avtor)
ID Dorbec, Paul (Avtor)
ID Klavžar, Sandi (Avtor)
ID Košmrlj, Gašper (Avtor) |
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| Datoteke: |  Discussiones_Mathematicae_Graph_Theory_2017_Bresar_et_al._How_long_can_one_bluff_in_the_domination_game.pdf (56,60 KB)
MD5: E2E21DDAD32086F0B202FAFD568E19EF
 http://www.discuss.wmie.uz.zgora.pl/gt/index.php?doi=10.7151/dmgt.1899
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| Jezik: | Angleški jezik |
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| Vrsta gradiva: | Znanstveno delo |
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| Tipologija: | 1.01 - Izvirni znanstveni članek |
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| Organizacija: | FNM - Fakulteta za naravoslovje in matematiko
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| Opis: | The domination game is played on an arbitrary graph ▫$G$▫ by two players, Dominator and Staller. The game is called Game 1 when Dominator starts it, and Game 2 otherwise. In this paper bluff graphs are introduced as the graphs in which every vertex is an optimal start vertex in Game 1 as well as in Game 2. It is proved that every minus graph (a graph in which Game 2 finishes faster than Game 1) is a bluff graph. A non-trivial infinite family of minus (and hence bluff) graphs is established. Minus graphs with game domination number equal to 3 are characterized. Double bluff graphs are also introduced and it is proved that Kneser graphs ▫$K(n,2)$▫, za ▫$n \ge 6$▫, are double bluff. The domination game is also studied on generalized Petersen graphs and on Hamming graphs. Several generalized Petersen graphs that are bluff graphs but not vertex-transitive are found. It is proved that Hamming graphs are not double bluff. |
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| Ključne besede: | domination game, game domination number, bluff graphs, minus graphs, generalized Petersen graphs, Kneser graphs, Cartesian product of graphs, Hamming graphs |
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| Status publikacije: | Objavljeno |
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| Verzija publikacije: | Objavljena publikacija |
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| Poslano v recenzijo: | 19.10.2015 |
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| Datum sprejetja članka: | 07.01.2016 |
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| Založnik: | University of Zielona Góra |
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| Leto izida: | 2017 |
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| Št. strani: | Str. 337-352 |
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| Številčenje: | Letn. 37, št. 2 |
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| PID: | 20.500.12556/DKUM-65601  |
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| ISSN: | 1234-3099 |
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| UDK: | 519.17 |
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| COBISS.SI-ID: | 17978457 |
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| DOI: | 10.7151/dmgt.1899 |
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| ISSN pri članku: | 1234-3099 |
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| NUK URN: | URN:SI:UM:DK:DMQJPGXS |
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| Datum objave v DKUM: | 09.05.2017 |
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| Število ogledov: | 1529 |
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| Število prenosov: | 495 |
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| Metapodatki: |    |
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| Področja: | Ostalo
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