Super (a, d)-H-antimagic total labeling on wheel edge corona product with a path and a cycle
نویسندگان
چکیده
منابع مشابه
Super edge-antimagic labeling of a cycle with a chord
An (a, d)-edge-antimagic total labeling of G is a one-to-one mapping g taking the vertices and edges onto 1, 2, . . . , |V (G)| + |E(G)| so that the edgeweights w(uv) = g(u) + g(v) + g(uv), uv ∈ E(G), form an arithmetic progression with initial term a and common difference d. Such a labeling is called super if the smallest labels appear on the vertices. In this paper, we investigate the existen...
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A (p, q)-graph G is (a, d)-edge antimagic total if there exists a bijection f : V (G) ∪ E(G) → {1, 2, . . . , p + q} such that the edge weights Λ(uv) = f(u) + f(uv) + f(v), uv ∈ E(G) form an arithmetic progression with first term a and common difference d. It is said to be a super (a, d)-edge antimagic total if the vertex labels are {1, 2, . . . , p} and the edge labels are {p+ 1, p+ 2, . . . ,...
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A graph G of order p and size q is called (a, d)-edge-antimagic total if there exists a bijection f : V(G) ∪ E(G) → {1, 2, . . . , p + q} such that the edge-weights, w(uv) = f(u) + f (v) + f (uv), uv ∈ E(G), form an arithmetic sequence with the first term a and common difference d. Such a graph G is called super if the smallest possible labels appear on the vertices. In this paper we study supe...
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For a graph G = (V, E), a bijection f from V(G) ∪ E(G) → {1, 2, . . . , |V(G)| + |E(G)|} is called (a, d)-edge-antimagic total ((a, d)EAT) labeling of G if the edge-weights w(xy) = f(x) + f(y) + f(xy), xy ∈ E(G), form an arithmetic progression starting from a and having a common difference d, where a > 0 and d ≥ 0 are two fixed integers. An (a, d)-EAT labeling is called super (a, d)-EAT labelin...
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In 1980, Enomoto et al. proposed the conjecture that every tree is a super (a, 0)-edge-antimagic total graph. In this paper, we give a partial support for the correctness of this conjecture by formulating some super (a, d)edge-antimagic total labelings on a subclass of subdivided stars denoted by T (n, n + 1, 2n + 1, 4n + 2, n5, n6, . . . , nr) for different values of the edgeantimagic labeling...
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ژورنال
عنوان ژورنال: Journal of Physics: Conference Series
سال: 2019
ISSN: 1742-6588,1742-6596
DOI: 10.1088/1742-6596/1306/1/012007