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On the signed Roman ▫$k$▫-domination: complexity and thin torus graphsShao, Zehui ...Predznačena rimska ▫$k$▫-dominantna funkcija na grafu ▫$G = (V(G), E(G))$▫ je funkcija ▫$f: V(G) \rightarrow \{-1, 1, 2\}$▫, tako da je (i) vsako vozlišče ▫$u$▫ z ▫$f(u) = -1$▫ sosednje z vsaj enim ... vozliščem ▫$v$▫, za katerega je ▫$f(v) = 2$▫ in (ii) ▫$\sum_{x \in N[w]}f(x) \geq k$▫ velja za vsako vozlišče ▫$w$▫. Teža od ▫$f$▫ je ▫$\sum_{u \in V(G)}f(u)$▫, najmanjša teža predznačene rimske ▫$k$▫-dominantne funkcije pa je predzančeno rimsko ▫$k$▫-dominantno število ▫$\gamma_{sR}^k(G)$▫ grafa ▫$G$▫. Dokazano je, da je določitev predzančenega rimskega ▫$k$▫-dominantnega števila grafa NP-poln problem za ▫$k \in \{1,2\}$▫. Z pomočjo metode prenosa naboja so za vse ▫$n$▫ določene vrednosti ▫$\gamma_{sR}^k(C_3\Box C_n)$▫ in ▫$\gamma_{sR}^k(C_4 \Box C_n)$▫.Source: Discrete applied mathematics. - ISSN 0166-218X (Vol. 233, 2017, str. 30-40)Type of material - article, component part ; adult, seriousPublish date - 2017Language - englishCOBISS.SI-ID - 18153049
Author
Shao, Zehui |
Klavžar, Sandi |
Li, Zepeng |
Wu, Pu |
Xu, Jin
Topics
rimska dominacija |
predznačena rimska 2-dominantna funkcija |
računska zahtevnost |
torusni grafi |
metoda prenosa naboja |
Roman domination |
signed Roman 2-domination |
computational complexity |
torus graphs |
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| Database name | Field | Year |
|---|
| Links to authors' personal bibliographies | Links to information on researchers in the SICRIS system |
|---|---|
| Shao, Zehui | ![]() |
| Klavžar, Sandi | 05949 |
| Li, Zepeng | ![]() |
| Wu, Pu | ![]() |
| Xu, Jin | ![]() |
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