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Absolute Mean Graceful Labeling of Jewel Graph and Jelly Fish Graph
International Journal of Mathematics Trends and Technology, 2022In this paper, we present absolute mean graceful labeling for some graphs. We have proved that jewel graph Jn, jewel graph without prime edge Jn ∗ , extended jewel graph EJn, jelly fish graph Jm,n, jelly fish graph without prime edge Jm,n ∗ , extended ...
Akbari P Z, K. V J, Parmar N A
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Graceful labeling for mushroom trees [PDF]
Aequationes mathematicae, 2014 One famous open problem in graph theory is the Graceful Tree Conjecture, which states that every finite tree has a graceful labeling. In 1973, Kotzig (Util Math 4:261–290, 1973) proved that if a leaf of a long enough path is identified with any vertex of an arbitrary tree, the resulting tree is graceful.
Cheung, WS, Ng, TW, Chan, TL
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Graceful labeling of power graph of group Z2k−1 × Z4
Asian-European Journal of Mathematics, 2021The power graph of a finite group G is a special type of undirected simple graph whose vertex set is set of elements of G, in which two distinct vertices of G are adjacent if one is the power of other.
Amit Sehgal +3 more
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Arithmetic Sequential Graceful Labeling For Arrow Graphs
IOSR Journal of MathematicsLet G be a simple, finite, connected, undirected, non-trivial graph with 𝑝 vertices and 𝑞 edges. 𝑉(𝐺) be the vertex set and 𝐸(𝐺) be the edge set of 𝐺. Let 𝑓: 𝑉(𝐺) → {𝑎, 𝑎 + 𝑑, 𝑎 + 2𝑑, 𝑎 + 3𝑑, … , 𝑎 + 2𝑞𝑑} where a ≥ 0 and 𝑑 ≥ 1 is an injective function ...
P. Sumathi, G. G. Ramani
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Directed edge-graceful labeling of digraph consisting of c cycles of the same size
Journal of Discrete Mathematical Sciences and Cryptography, 2021A graph G = (V, E) is said to be directed edge-graceful if there exists an orientation of G and a directed edge-graceful labeling f of the arcs of G with {1, 2, 3, … ,|E|} such that the induced mapping g on V defined by g(v) = (f +(v) - f −(v)) (mod |V|)
Ratinan Boonklurb +2 more
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TRIANGULAR NEUTROSOPHIC GRACEFUL LABELING OF SOME GRAPHS
South East Asian Journal of Mathematics and Mathematical SciencesIn this article, triangular neutrosophic number (TrNN) is applied with the neutrosophic graceful labeling graph and as a result, the triangular neutrosophic graceful labeling (TrNGL) graphs are obtained.
G. Vetrivel, M. Mullai
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The Generation of k-Graceful Figure and Graceful Label
2014 Fourth International Conference on Instrumentation and Measurement, Computer, Communication and Control, 2014This paper introduces the concept of graceful figure, discusses a special kind of graceful figure: K-graceful figure, draw all the graceful figure of the generated by the n side of all the beautiful label generation algorithm. The algebraic theory and computer tools introduced a graceful figure.
Jia Peipei, Zhang Tai, Zhang Yuanyuan
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On Graceful Labelings of Trees
2011A tree is a connected acyclic graph. A tree of n vertices is said to be graceful if the vertices can be assigned the labels {0, 1, 2, ..., n - 1} such that the absolute value of the differences in vertex labels between neighboring vertices generate the set consisting distinct values {1, 2, 3, ...,n-1}.
Md. Saidur Rahman +3 more
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Graceful and Antimagic Labelings
2019This chapter explores the relationship between antimagic labeling and alpha labelings and also the well-known graceful labelings. Much of this chapter looks at interesting labelings and structures on trees, including edge antimagic trees, alpha trees, and disjoint union of caterpillars.
Joe Ryan +4 more
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Graceful Labeling on Thorny-Snake Graphs
, 2021Graph labeling is assigning a value to the elements of a graph, usually positive integers. One of the labeling that continues to develop is graceful labeling. A Graceful labeling was first discovered by Rosa in 1967.
Maryana, K. Sugeng
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