Graph labeling

JA Gallian - The electronic journal of combinatorics, 2012 - combinatorics.org
A graph labeling is an assignment of integers to the vertices or edges, or both, subject to
certain conditions. Graph labelings were first introduced in the mid 1960s. In the intervening …

A New notion of classical mean graphs based on duplicating operations

AR Kannan, P Manivannan, K Loganathan… - Journal of …, 2022 - Wiley Online Library
Classical mean labeling of a graph G with p vertices and q edges is an injective function
from the vertex set of G to the set {1, 2, 3,…, q+ 1} such that the edge labels obtained from …

Reflection of Duplicating Operations in the Graphs Pn and PnK1 Based on the F‐Centroidal Meanness Property

AR Kannan, K Loganathan, P Usha… - Journal of …, 2024 - Wiley Online Library
A graph admits flooring function of centroidal meanness property if its injective node
assignment Λ is from 1 to 1+ q along with bijective link assignment Λ⋆(uv)=⌊ 1/3Γ (u, v)[Λ …

[PDF][PDF] Some graph operations of Even Vertex Odd Mean labeling graphs

M Kannan, RV Prasad, R Gopi - International Journal of Applied …, 2017 - researchgate.net
Some Graph Operations Of Even Vertex Odd Mean Labeling Graphs Page 1 International
Journal of Applied Engineering Research ISSN 0973-4562 Volume 12, Number 18 (2017) …

F-geometric mean labeling of graphs obtained by duplicating any edge of some graphs

AD Baskar, S Arockiaraj - SUT journal of Mathematics, 2017 - projecteuclid.org
A function f is called an F-geometric mean labeling of a graph G=(V, E) with p vertices and q
edges if f: V→{1, 2, 3,…, q+ 1} is injective and the induced function f*: E→{1, 2, 3,…, q} …

Odd sum labeling of graphs obtained by duplicating any edge of some graphs

S Arockiaraj, P Mahalakshmi… - Electronic Journal of …, 2015 - 128.199.228.175
An injective function $ f: V (G)\rightarrow\{0, 1, 2,\dots, q\} $ is an odd sum labeling if the
induced edge labeling $ f^* $ defined by $ f^*(uv)= f (u)+ f (v), $ for all $ uv\in E (G), $ is …

Further results on super geometric mean graphs

AD Baskar, S Arockiaraj - Mathematical Combinatorics, 2015 - books.google.com
Throughout this paper, by a graph we mean a finite, undirected and simple graph. Let G (V,
E) be a graph with p vertices and q edges. For notations and terminology, we follow [5]. For a …

Further investigation on the super classical mean labeling of graphs obtained from paths

A Rajesh Kannan, G Thirupathi… - Journal of Intelligent & … - content.iospress.com
Consider the graph G, with the injection Ω from node set to the first p+ q natural numbers. Let
us assume that the ceiling function of the classical average of the node labels of the end …

[PDF][PDF] Research Article A New Notion of Classical Mean Graphs Based on Duplicating Operations

AR Kannan, P Manivannan, K Loganathan… - 2022 - academia.edu
Classical mean labeling of a graph G with p vertices and q edges is an injective function
from the vertex set of G to the set 1, 2, 3,..., q+ 1 {} such that the edge labels obtained from …

[PDF][PDF] A notion of even vertex odd mean labeling graphs

M Kannan, RV Prasad, R Gopi - International Journal of …, 2017 - ijmttjournal.org
A Notion of Even Vertex Odd Mean Labeling Graphs Page 1 International Journal of Mathematics
Trends and Technology (IJMTT) – Volume 50 Number 3 October 2017 ISSN: 2231-5373 …