FMF, Mathematical Library, Lj. (MAKLJ)
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General ▫$d$▫-position sets : Sandi Klavžar, Douglas F. Rall, Ismael G. YeroKlavžar, Sandi ; Rall, Douglas F. ; Yero, Ismael G.Število ▫$d$▫-splošne lege ▫${\rm gp}_d(G)$▫ grafa ▫$G$▫ je kardinalnost največje množice ▫$S$▫, za katero nobena trojica volišč ne leži na skupni najkrajši poti dolžine kvečjemu ▫$d$▫. Ta novi ... grafovski parameter posplošuje dobro preučeno število splošne lege. Najprej podamo nekaj rezultatov v zvezi z monotonim vedenjem ▫${\rm gp}_d(G)$▫ glede na primerne vrednosti ▫$d$▫. Pokažemo, da je odločitveni problem iskanja ▫${\rm gp}_d(G)$▫ NP-poln za vse ▫$d$▫. Izračunana je vrednost ▫${\rm gp}_d(G)$▫, kadar je ▫$G$▫ pot ali cikel, dokazana je tudi strukturna karakterizacija množic v ▫$d$▫-splošni legi. Poleg tega predstavljamo nekatere odnose z drugimi temami, vključno s krepkimi solventnimi grafi in disociacijskimi množicami. Našo predstavitev zaključimo z dokazom, da je ▫${\rm gp}_d(G)$▫ neskončno, kadar je ▫$G$▫ neskončen graf in ▫$d$▫ končno celo število.Source: Ars mathematica contemporanea. - ISSN 1855-3966 (Vol. 21, no. 1, 2021, str. 33-44)Type of material - article, component part ; adult, seriousPublish date - 2021Language - englishCOBISS.SI-ID - 72019203
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Database name | Field | Year |
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Klavžar, Sandi | 05949 |
Rall, Douglas F. | |
Yero, Ismael G. |
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