FMF, Mathematical Library, Lj. (MAKLJ)
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Characterization of general position sets and its applications to cographs and bipartite graphsAnand, Bijo S. ...Podmnožica vozlišč ▫$S$▫ grafa ▫$G$▫ je množica v splošni legi, če nobeno vozlišče iz ▫$S$▫ ne leži na najkrajši poti med dvema drugima vozliščema iz ▫$S$▫. Kardinalnost največje množice vozlišč v ... splošni legi je število splošne lege ▫${\rm gp}(G)$▫ grafa ▫$G$▫. Dokazano je, da je ▫$S\subseteq V(G)$▫ v splošni legi natanko tedaj, ko so komponenente porojenega podgrafa ▫$G[S]$▫ polni grafi, katerih vozlišča tvorijo in-tranzitivno, razdaljno-konstantno particijo množice ▫$S$▫. Če je ▫${\rm diam}(G) = 2$▫, potem je ▫${\rm gp}(G)$▫ maksimum od ▫$\omega(G)$▫ in velikosti največje množice vozlišč, ki inducira polni multipartitni podgraf komplementa grafa ▫$G$▫. Posledica tega rezultata je, da lahko ▫${\rm gp}(G)$▫ kografa ▫$G$▫ določimo v polinomskem času. Če je graf ▫$G$▫ dvodelen, potem velja ▫${\rm gp}(G) \leq \alpha(G)$▫ z enakostjo, če je ▫${\rm diam}(G) \in \{2,3\}$▫. Izpeljana je formula za število splošne lege za komplemente poljubnih dvodelnih grafov in poenostavljena za komplemente dreves, rešetk in hiperkock.Source: Applied mathematics and computation. - ISSN 0096-3003 (Vol. 359, Oct. 2019, str. 84-89)Type of material - article, component part ; adult, seriousPublish date - 2019Language - englishCOBISS.SI-ID - 18636121
Author
Anand, Bijo S. |
Chandran S. V., Ullas, 1984- |
Changat, Manoj, 1964- |
Klavžar, Sandi |
Thomas, Elias John
Topics
množica v splošni legi |
graf premera 2 |
kograf |
dvodelni graf |
dvodelni komplement |
general position set |
graph of diameter 2 |
cograph |
bipartite graph |
bipartite complement
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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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Anand, Bijo S. | ![]() |
Chandran S. V., Ullas, 1984- | ![]() |
Changat, Manoj, 1964- | ![]() |
Klavžar, Sandi | 05949 |
Thomas, Elias John | ![]() |
Source: Personal bibliographies
and: SICRIS
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