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Now showing items 61-70 of 81
On the partition dimension and connected partition dimension of wheels
(Ars Combinatoria, 2007)
Conjectures and open problems on face antimagic evaluations of graphs
(Journal of Indonesian Mathematical Society, 2005)
On the degrees of a strongly vertex-magic graph
(Discrete Mathematics, 2006)
Let G=(V ,E) be a finite graph, where |V |=n2 and |E|=e1.A vertex-magic total labeling is a bijection from V ∪E to the set of consecutive integers {1, 2, . . . , n + e} with the property that for every v ∈ V , (v) +w∈N(v) ...
(a,d)-Edge-Antimagic Total Labelings of Caterpillars
(Lecture Notes in Computer Science, 2005)
For a graph G = (V,E), a bijection g from V(G) ∪ E(G) into { 1,2, ..., ∣ V(G) ∣ + ∣ E(G) ∣ } is called (a,d)-edge-antimagic total labeling of G if the edge-weights w(xy) = g(x) + g(y) + g(xy), xy ∈ E(G), form an arithmetic ...
Bounds on the number of isolates in sum graph labeling
(Discrete Mathematics, 2001)
A simple undirected graph H is called a sum graph if there is a labeling L of the vertices
of H into distinct positive integers such that any two vertices u and v of H are adjacent if and only if there is a vertex w with ...
On d-antimagic labelings of prisms
(Ars Combinatoria, 2004)
On d-antimagic labelings of antiprisms
(Utilitas Math., 2003)
Vertex-antimagic total labelings of graphs
(Discussiones Mathematicae Graph Theory, 2003)
In this paper we introduce a new type of graph labeling for a graph G(V;E) called an (a; d)-vertex-antimagic total labeling. In this labeling we assign to the vertices and edges the consecutive integers from 1 to |V| + |E| ...
On two conjectures concerning vertex magic total labelings of generalized Petersen graphs
(Bulletins of ICA, 2001)
A vertex-magic total labeling of a graph with $v$ vertices and $e$ edges is defined as a one-to-one map taking the vertices and edges onto the integers $1,2,\dots ,v+e$ with the property that the sum of the label on a ...