ON SUPER (a, d)- -ANTIMAGIC TOTAL LABELING OF STAR GRAPH K1,n

Mukti, Laras Indah Sinanding Dwi Argo (2019) ON SUPER (a, d)- -ANTIMAGIC TOTAL LABELING OF STAR GRAPH K1,n. Undergraduate thesis, UNDIP.

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Abstract

Let ( ) and ( ) be simple and finite graphs, and be a subgraph of . Let | | | | | | dan | | . Covering of is a family of different subgraphs such that every edge in belongs to at least one of subgraph . If isomorphic to , then admits an -Covering. An - -antimagic total labeling of is bijection , such that for all subgraphs of isomorphic to , the weights ∑ ∑ . Constitute an arithmetic progression where and are positive integer and is the number of subgraphs of isomorphic to , maka . Additionally, the labeling is called a super - -antimagic total labeling if ( ) . The star graph admit super - - antimagic total labeling. If the star graph , , is super - - antimagic, then .

Item Type:Thesis (Undergraduate)
Subjects:Q Science > QA Mathematics
Divisions:Faculty of Science and Mathematics > Department of Mathematics
ID Code:84219
Deposited By:Admin Departemen Matematika
Deposited On:11 Jun 2022 18:43
Last Modified:11 Jun 2022 18:43

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