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INTERNATIONAL JOURNAL OF SCIENTIFIC DEVELOPMENT AND RESEARCH
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Paper Title: Super (a,d)-Cn -antimagicness of Windmill Graphs W(n,r)
Authors Name: Muhammad Awais Umar , Mujtaba Hussain
Unique Id: IJSDR1802001
Published In: Volume 3 Issue 2, January-2018
Abstract: Let G=(V,E) be a finite simple graph with |V(G)| vertices and |E(G)| edges. An edge-covering of G is a family of subgraphs H1,H2,...Ht such that each edge of E(G) belongs to at least one of the subgraphs Hi,i=1,2,...,t. If every subgraph Hi is isomorphic to a given graph H, then the graph G admits an H-covering. A graph G admitting H covering is called an (a,d)-H-antimagic if there is a bijection f: VUE-->{1,2,..., |V(G)|+|E(G)|} such that for each subgraph H' of G isomorphic to H, the sum of labels of all the edges and vertices belonged to H' constitutes an arithmetic progression with the initial term a and the common difference d. For f(V)={1,2,3,...,|V(G)|}, the graph G is said to be super (a,d)-H-antimagic and for d=0 it is called H-supermagic. In this paper, we investigate the existence of super (a,d)-Cn-antimagic labeling of Windmill graphs, Friendship graphs and subdivided friendship graphs for differences d=0,1,...,5 and n>=3.
Keywords: Windmill graph W(n,r), Friendship graph W(3,r), Subdivided friendship graph W(3,r)(m), super (a,d)-Cn -antimagic, super (a,d)-C3(m+1-)antimagic.
Cite Article: "Super (a,d)-Cn -antimagicness of Windmill Graphs W(n,r) ", International Journal of Science & Engineering Development Research (www.ijsdr.org), ISSN:2455-2631, Vol.3, Issue 2, page no.1 - 5, January-2018, Available :http://www.ijsdr.org/papers/IJSDR1802001.pdf
Downloads: 000336156
Publication Details: Published Paper ID: IJSDR1802001
Registration ID:170887
Published In: Volume 3 Issue 2, January-2018
DOI (Digital Object Identifier):
Page No: 1 - 5
Publisher: IJSDR | www.ijsdr.org
ISSN Number: 2455-2631

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