Results 51 to 60 of about 2,693,458 (344)

On Prime Index of a Graph

open access: yesRatio Mathematica, 2023
In prime labeling, vertices are labeled from 1 to n, with the condition that any two adjacent vertices have relatively prime labels. Coprime labeling maintains the same criterion as prime labeling with adjacent vertices using any set of distinct positive
Janani R, Ramachandran T
doaj   +1 more source

Colourings of graphs by labellings

open access: yesElectronic Notes in Discrete Mathematics, 2017
Abstract In this paper we give a survey on several types of colourings of elements of graphs by different types of labellings.
Martin Baca, Stanislav Jendrol'
openaire   +1 more source

On Proper Labellings of Graphs with Minimum Label Sum [PDF]

open access: yesAlgorithmica, 2020
The 1-2-3 Conjecture states that every nice graph G (without component isomorphic to [Formula: see text]) admits a proper 3-labelling, i.e., a labelling of the edges with 1, 2, 3 such that no two adjacent vertices are incident to the same sum of labels.
Bensmail, Julien   +2 more
openaire   +6 more sources

Absolutely Harmonious Labeling of Graphs [PDF]

open access: yes, 2011
In this paper, we obtain necessary conditions for a graph to be absolutely harmonious and study absolutely harmonious behavior of certain classes of ...
Lourdusamy, A., Seenivasan, M.
core   +1 more source

New Families of Mean Graphs [PDF]

open access: yes, 2010
A graph that admits a Smarandachely super mean m-labeling is called Smarandachely super m-mean ...
Selvam, Avadayappan
core   +1 more source

A Bucket Graph-Based Labeling Algorithm with Application to Vehicle Routing

open access: yesTransportation Science, 2020
We consider the shortest path problem with resource constraints arising as a subproblem in state-of-the-art branch-cut-and-price algorithms for vehicle routing problems.
R. Sadykov, Eduardo Uchoa, A. Pessoa
semanticscholar   +1 more source

Decomposition of Certain Complete Graphs and Complete Multipartite Graphs into Almost-bipartite Graphs and Bipartite Graphs

open access: yesTheory and Applications of Graphs, 2020
In his classical paper [14], Rosa introduced a hierarchical series of labelings called ρ, σ, β and α labeling as a tool to settle Ringel’s Conjecture which states that if T is any tree with m edges then the complete graph K2m+1 can be decomposed into 2m +
G. Sethuraman, M. Sujasree
doaj   +1 more source

The Odd Harmonious Labeling of Layered Graphs

open access: yesJTAM (Jurnal Teori dan Aplikasi Matematika), 2023
Graphs that have the properties of odd harmonious labeling are odd harmonious graphs. The research objective of this paper is to obtain odd harmonious labeling on layered graph C(x,y) and layered graph D(x,y).
Fery Firmansah
doaj   +1 more source

Super Fibonacci Graceful Labeling of Some Special Class of Graphs [PDF]

open access: yes, 2011
A Fibonacci graceful labeling and a super Fibonacci graceful labeling on graphs were introduced by Kathiresan and Amutha in ...
Sridevi, R.   +2 more
core   +1 more source

Gaussian Tribonacci R-Graceful Labeling of Some Tree Related Graphs

open access: yesRatio Mathematica, 2022
Let r be any natural number. An injective function , where  is the Gaussian Tribonacci number in the Gaussian Tribonacci sequence is said to be Gaussian Tribonacci r-graceful labeling if the induced edge labeling such that  is bijective.
K Sunitha, M Sheriba
doaj   +1 more source

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