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Binary Labeling of Graphs

Graphs and Combinatorics, 1997
A mapping \(f: E\to\{0,1\}^m\) of a graph \(G=(V,E)\) is called a mod 2 coding of \(G\), if the induced mapping \(g:V\to \{0,1\}^m\), defined by \(g(v)= \sum_{u\in V,\{u,v\}\in E}f(\{u,v\})\) assigns a different number to each vertex, where summations are taken modulo 2.
Caccetta, Louis, Jia, Rui-Zhong
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Pair Labelings of Graphs

SIAM Journal on Discrete Mathematics, 1992
Summary: Given a graph \(G\) and positive integer \(d\), the pair-labeling number \(r^*(G,d)\) is the minimum \(n\) such that each vertex in \(G\) can be assigned a pair of numbers from \(\{0,1,\dots,n-1\}\) so that any two numbers used at adjacent vertices differ by at least \(d\) modulo \(n\).
Guichard, David R., Krussel, John W.
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Alpha Labeling of Cyclic Graphs

International Journal of Applied and Computational Mathematics, 2021
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Kumar, Ajay   +3 more
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Labeled Graph Sketches

2018 IEEE 34th International Conference on Data Engineering (ICDE), 2018
Nowadays, a graph serves as a fundamental data structure for many applications. As graph edges stream in, users are often only interested in the recent data. In data exploration, how to store and process such massive amounts of graph stream data becomes a significant problem.
Chunyao Song, Tingjian Ge
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Antimagic Labelings of Join Graphs

Mathematics in Computer Science, 2015
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Bača, Martin   +3 more
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Magic labelings of graphs

Ars combinatoria, 1999
The authors investigate such integer labelings \(w\) (called ``magic'') of edges of a graph \(G\), in which \(\sum_{v\in e}w(e)\) is a constant \(s\) independent of the vertex \(v\). They introduce basis graphs of type I and II. For the type I a unique, up to a constant factor, labeling exists with \(s>0\) and no \(0\) label.
Gobel, F., Hoede, C.
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On Partitional Labelings of Graphs

Mathematics in Computer Science, 2009
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Ichishima, Rikio, Oshima, Akito
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Graph antimagic labeling: A survey

Discrete Mathematics, Algorithms and Applications, 2023
An antimagic labeling of a simple graph [Formula: see text] is a bijection [Formula: see text] such that [Formula: see text] for any two vertices [Formula: see text] in [Formula: see text]. We survey the results about antimagic labelings and other labelings motivated by antimagic labelings of graphs, and present some conjectures and open questions.
Jin, Jingxiang, Tu, Zhuojie
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Group Labeling of some Graphs

Cybernetics and Systems Analysis, 2020
The authors present some results on group distance magic and antimagic graph labelings. In particular, they present some results about group distance magic regular graphs, as well as of the powers of \(C_4\) and other cycles \(C_{2^k}\) (considered as the Cartesian product of several factors). The results are very specific, but could be interesting for
Semeniuta, M. F., Donets, G. A.
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ODD GRACEFUL LABELINGS OF GRAPHS

Discrete Mathematics, Algorithms and Applications, 2009
A graph G = (V(G), E(G)) with q edges is said to be odd graceful if there exists an injection f from V(G) to {0, 1, 2, …, 2q - 1} such that the edge labeling set is {1, 3, 5, …, 2q - 1} with each edge xy assigned the label |f(x) - f(y)|. In this paper, we prove that Pn × Pm (m = 2, 3, 4), generalized crown graphs Cn ⊙ K1,t and gear graphs are odd ...
Gao, Zhen-Bin   +2 more
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