[vc_empty_space][vc_empty_space]
Wheel-supermagic labelings for a wheel k-multilevel corona with a cycle
Marbun H.T.a, Salman A.N.M.a
a Combinatorial Mathematics Research Group, Institut Teknologi Bandung, Indonesia
[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 k be a positive integer. A graph G k-multilevel corona with a graph H, denoted by G ⊙k H, is a graph that is defined by (G ⊙k-1 H) ⊙ H for k ≥ 2 and by G ⊙ H for k = 1 where G ⊙ H is a graph obtained from G and {pipe}V(G){pipe} copies of H, namely H1, H2,…, H{pipe}V(G){pipe}, and joined every vi in V(G) to all vertices in V(Hi). A graph G =(V, E) is said to be H -magic if every edge of G belongs to at least one subgraph isomorphic to H and there is a total labeling f: V(G)∪E(G) → {1, 2,…, {pipe}V(G){pipe}+{pipe}E(G){pipe}} such that for each subgraph H′ = (V′, E′) of G isomorphic to H, the sum of all vertex labels in V′ plus the sum of all edge labels in E′ is a constant. Additionally, G is said to be H -supermagic, if f(V(G)) = {1, 2,…, {pipe}V(G){pipe}}. We prove that a wheel Wn k-multilevel corona with a cycle Cn is Wn-supermagic.[/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]Cycle,H-covering,H-supermagic,k-multilevel corona,Labeling,Wheel[/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]