Results 71 to 80 of about 746 (100)
Super (a, d)-H-antimagic labeling of subdivided graphs
Open Mathematics, 2018 A simple graph G = (V, E) admits an H-covering, if every edge in E(G) belongs to a subgraph of G isomorphic to H. A graph G admitting an H-covering is called an (a, d)-H-antimagic if there exists a bijective function f : V(G) ∪ E(G) → {1, 2, …, |V(G)| + |
Taimur Amir +4 more
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Note on group irregularity strength of disconnected graphs
Open Mathematics, 2018 We investigate the group irregularity strength (sg(G)) of graphs, i.e. the smallest value of s such that taking any Abelian group 𝓖 of order s, there exists a function f : E(G) → 𝓖 such that the sums of edge labels at every vertex are distinct. So far it
Anholcer Marcin +3 more
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Further Studies on the Sparing Number of Graphs [PDF]
, 2014 Let $\mathbb{N}_0$ denote the set of all non-negative integers and $\mathcal{P}(\mathbb{N}_0)$ be its power set. An integer additive set-indexer is an injective function $f:V(G)\to \mathcal{P}(\mathbb{N}_0)$ such that the induced function $f^+:E(G) \to ...
Germina, K A, Sudev, N K
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Total weight choosability in Hypergraphs [PDF]
, 2013 A total weighting of the vertices and edges of a hypergraph is called vertex-coloring if the total weights of the vertices yield a proper coloring of the graph, i.e., every edge contains at least two vertices with different weighted degrees. In this note
Pfender, Florian
core
On Integer Additive Set-Indexers of Graphs [PDF]
, 2014 A set-indexer of a graph $G$ is an injective set-valued function $f:V(G) \rightarrow2^{X}$ such that the function $f^{\oplus}:E(G)\rightarrow2^{X}-\{\emptyset\}$ defined by $f^{\oplus}(uv) = f(u){\oplus} f(v)$ for every $uv{\in} E(G)$ is also injective ...
Germina, K. A., Sudev, N. K.
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On alpha labeling of tensor product of paths and cycles. [PDF]
Heliyon, 2023 L U, G R.
europepmc +1 more source
Zero-sum partitions of Abelian groups and their applications to magic- and antimagic-type labelings [PDF]
Discrete Mathematics & Theoretical Computer ScienceThe following problem has been known since the 80s. Let $\Gamma$ be an Abelian group of order $m$ (denoted $|\Gamma|=m$), and let $t$ and $\{m_i\}_{i=1}^{t}$, be positive integers such that $\sum_{i=1}^t m_i=m-1$. Determine when $\Gamma^*=\Gamma\setminus\
Sylwia Cichacz, Karol Suchan
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Caterpillars Have Antimagic Orientations
Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2018 An antimagic labeling of a directed graph D with m arcs is a bijection from the set of arcs of D to {1, …, m} such that all oriented vertex sums of vertices in D are pairwise distinct, where the oriented vertex sum of a vertex u is the sum of labels of ...
Lozano Antoni
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Decompositions of Complete Graphs Into Kayak Paddles [PDF]
, 2011 A canoe paddle is a cycle attached to an end-vertex of a path. It was shown by Truszczynski that all canoe paddles are graceful and therefore decompose complete graphs. A kayak paddle is a pair of cycles joined by a path. We prove that the complete graph
Froncek, D. (Dalibor) +1 more
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Forum of Mathematics, SigmaThe present paper explores a connection between two concepts arising from different fields of mathematics. The first concept, called vine, is a graphical model for dependent random variables.
Hung Manh Tran +2 more
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