Pregled bibliografske jedinice broj: 1213176
Double total domination number in certain chemical graphs
Double total domination number in certain chemical graphs // AIMS Mathematics, 7 (2022), 11; 19629-19640 doi:10.3934/math.20221076 (međunarodna recenzija, članak, znanstveni)
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Naslov
Double total domination number in certain
chemical graphs
Autori
Klobučar Barišić, Ana ; Klobučar, Antoaneta
Izvornik
AIMS Mathematics (2473-6988) 7
(2022), 11;
19629-19640
Vrsta, podvrsta i kategorija rada
Radovi u časopisima, članak, znanstveni
Ključne riječi
total domination ; double total domination ; hexagonal systems ; molecular graph ; pyrene network ; hexabenzocoronene
Sažetak
Let G be a graph with the vertex set V(G). A set D⊆V(G) is a total k-dominating set if every vertex v∈V(G) has at least k neighbours in D. The total k-domination number γkt(G) is the cardinality of the smallest total k-dominating set. For k=2 the total 2-dominating set is called double total dominating set. In this paper we determine the upper and lower bounds and some exact values for double total domination number on pyrene network PY(n), n≥1 and hexabenzocoronene XC(n) n≥2, where pyrene network and hexabenzocoronene are composed of congruent hexagons.
Izvorni jezik
Engleski
Znanstvena područja
Matematika
POVEZANOST RADA
Ustanove:
Ekonomski fakultet, Osijek,
Fakultet strojarstva i brodogradnje, Zagreb
Citiraj ovu publikaciju:
Časopis indeksira:
- Current Contents Connect (CCC)
- Web of Science Core Collection (WoSCC)
- Science Citation Index Expanded (SCI-EXP)
- SCI-EXP, SSCI i/ili A&HCI
- Scopus
