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On the super edge-magic deficiency of a star forest
Baig A.Q.a, Baskoro E.T.b, Cova-Fenovcikova A.S.c
a Department of Mathematics, COMSATS Institute of Information Technology, Attock Campus, Pakistan
b Combinatorial Mathematics Research Group, Faculty of Mathematics and Natural Sciences, Institut Teknologi Bandung, Indonesia
c Department of Appl. Mathematics, Technical University, Slovakia
[vc_row][vc_column][vc_row_inner][vc_column_inner][vc_separator css=”.vc_custom_1624529070653{padding-top: 30px !important;padding-bottom: 30px !important;}”][/vc_column_inner][/vc_row_inner][vc_row_inner layout=”boxed”][vc_column_inner width=”3/4″ css=”.vc_custom_1624695412187{border-right-width: 1px !important;border-right-color: #dddddd !important;border-right-style: solid !important;border-radius: 1px !important;}”][vc_empty_space][megatron_heading title=”Abstract” size=”size-sm” text_align=”text-left”][vc_column_text]Let G = (V, E) be a finite, simple and undirected graph of order p and size q. A super edge-magic total labeling of a graph G is a bijection λ: V(G) ∪ E(G) → {1, 2,⋯, p + q}, where the vertices are labeled with the numbers 1, 2,⋯, p and there exists a constant t such that f(x) + f(xy) + f(y) = t, for every edge xy ε E(G). The super edge-magic deficiency of a graph G, denoted by μ3 (G), is the minimum nonnegative integer n such that G ∪ n K1 has a super edge-magic total labeling, or it is oo if there exists no such n. In this paper, we study the super edge-magic deficiency of a forest consisting of stars.[/vc_column_text][vc_empty_space][vc_separator css=”.vc_custom_1624528584150{padding-top: 25px !important;padding-bottom: 25px !important;}”][vc_empty_space][megatron_heading title=”Author keywords” size=”size-sm” text_align=”text-left”][vc_column_text][/vc_column_text][vc_empty_space][vc_separator css=”.vc_custom_1624528584150{padding-top: 25px !important;padding-bottom: 25px !important;}”][vc_empty_space][megatron_heading title=”Indexed keywords” size=”size-sm” text_align=”text-left”][vc_column_text]Disjoint union of stars,Super edge-magic total deficiency[/vc_column_text][vc_empty_space][vc_separator css=”.vc_custom_1624528584150{padding-top: 25px !important;padding-bottom: 25px !important;}”][vc_empty_space][megatron_heading title=”Funding details” size=”size-sm” text_align=”text-left”][vc_column_text][/vc_column_text][vc_empty_space][vc_separator css=”.vc_custom_1624528584150{padding-top: 25px !important;padding-bottom: 25px !important;}”][vc_empty_space][megatron_heading title=”DOI” size=”size-sm” text_align=”text-left”][vc_column_text][/vc_column_text][/vc_column_inner][vc_column_inner width=”1/4″][vc_column_text]Widget Plumx[/vc_column_text][/vc_column_inner][/vc_row_inner][/vc_column][/vc_row][vc_row][vc_column][vc_separator css=”.vc_custom_1624528584150{padding-top: 25px !important;padding-bottom: 25px !important;}”][/vc_column][/vc_row]