A Super (A,D)-Bm-Antimagic Total Covering of Ageneralized Amalgamation of Fan Graphs

Autor: Ika Hesti Agustin, Dafik Dafik, Siti Latifah, Rafiantika Megahnia Prihandini
Jazyk: angličtina
Rok vydání: 2017
Předmět:
Zdroj: Cauchy: Jurnal Matematika Murni dan Aplikasi, Vol 4, Iss 4, Pp 146-154 (2017)
Druh dokumentu: article
ISSN: 2086-0382
2477-3344
DOI: 10.18860/ca.v4i4.3758
Popis: All graph in this paper are finite, simple and undirected. Let G, H be two graphs. A graph G is said to be an (a,d)-H-antimagic total graph if there exist a bijective function such that for all subgraphs H’ isomorphic to H, the total H-weights form an arithmetic progression where a, d 0 are integers and m is the number of all subgraphs H’ isomorphic to H. An (a, d)-H-antimagic total labeling f is called super if the smallest labels appear in the vertices. In this paper, we will study a super (a, d)-Bm-antimagicness of a connected and disconnected generalized amalgamation of fan graphs on which a path is a terminal.
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