Super Total Labeling (a,d)- edge Antimagic on the Firecracker Graph
نویسندگان
چکیده
منابع مشابه
On super edge-antimagic total labeling of subdivided stars
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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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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A graph G of order p and size q is called (a, d)-edge-antimagic total if there exists a bijective function 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 first term a and common difference d. The graph G is said to be super (a, d)-edge-antimagic total if the vertex labels are 1, 2, . . . , p. In this p...
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ژورنال
عنوان ژورنال: CAUCHY
سال: 2020
ISSN: 2477-3344,2086-0382
DOI: 10.18860/ca.v6i3.10145