Results 81 to 90 of about 2,393,702 (209)

Minimum Coprime Labelings for Operations on Graphs [PDF]

open access: yesarXiv, 2017
A prime labeling of a graph of order $n$ is a labeling of the vertices with the integers $1$ to~$n$ in which adjacent vertices have relatively prime labels. A coprime labeling maintains the same criterion on adjacent vertices using any set of distinct positive integers.
arxiv  

-labeling numbers of square of paths

open access: yesAKCE International Journal of Graphs and Combinatorics, 2017
For , the -labeling arose from code assignment problem. That is, let , and be positive numbers, an --labeling of a graph is a mapping such that if , and if . The span of is the difference between the maximum and the minimum numbers assigned by .
Qiong Wu, Wai Chee Shiu
doaj   +1 more source

An application on edge irregular reflexive labeling for $ m^t $-graph of cycle graph

open access: yesAIMS Mathematics
Graph labeling is an increasingly popular problem in graph theory. A mapping converts a collection of graph components into a set of integers known as labels.
Muhammad Amir Asif   +5 more
doaj   +1 more source

A Complexity Theory for Labeling Schemes [PDF]

open access: yesarXiv, 2018
In a labeling scheme the vertices of a given graph from a particular class are assigned short labels such that adjacency can be algorithmically determined from these labels. A representation of a graph from that class is given by the set of its vertex labels.
arxiv  

Some Results on Divisior Cordial Graphs

open access: yesJournal of New Theory, 2020
In this paper, we introduce some results on divisor cordial graphs where we find some upper bound for the labeling of any simple graph and r-regular graph and describe the divisor cordial labeling for some families of graphs such the jellyfish graph ...
Shakir Salman, Mohammed Seoud
doaj  

Multi-Label Graph Convolutional Network Representation Learning [PDF]

open access: yesarXiv, 2019
Knowledge representation of graph-based systems is fundamental across many disciplines. To date, most existing methods for representation learning primarily focus on networks with simplex labels, yet real-world objects (nodes) are inherently complex in nature and often contain rich semantics or labels, e.g., a user may belong to diverse interest groups
arxiv  

Antimagic labelings of regular bipartite graphs: An application of the Marriage Theorem [PDF]

open access: yesJournal of Graph Theory. Vol. 60, March 2009, pp. 173-182, 2007
A labeling of a graph is a bijection from $E(G)$ to the set $\{1, 2,..., |E(G)|\}$. A labeling is \textit{antimagic} if for any distinct vertices $u$ and $v$, the sum of the labels on edges incident to $u$ is different from the sum of the labels on edges incident to $v$. We say a graph is antimagic if it has an antimagic labeling.
arxiv  

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