On Edge Irregular Reflexive Labellings for the Generalized Friendship Graphs

We study an edge irregular reflexive k-labelling for the generalized friendship graphs, also known as flowers (a symmetric collection of cycles meeting at a common vertex), and determine the exact value of the reflexive edge strength for several subfamilies of the generalized friendship graphs.

Bibliographic Details
Main Authors: Martin Bača, Muhammad Irfan, Joe Ryan, Andrea Semaničová-Feňovčíková, Dushyant Tanna
Format: Article
Language:English
Published: MDPI AG 2017-11-01
Series:Mathematics
Subjects:
Online Access:https://www.mdpi.com/2227-7390/5/4/67
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author Martin Bača
Muhammad Irfan
Joe Ryan
Andrea Semaničová-Feňovčíková
Dushyant Tanna
author_facet Martin Bača
Muhammad Irfan
Joe Ryan
Andrea Semaničová-Feňovčíková
Dushyant Tanna
author_sort Martin Bača
collection DOAJ
description We study an edge irregular reflexive k-labelling for the generalized friendship graphs, also known as flowers (a symmetric collection of cycles meeting at a common vertex), and determine the exact value of the reflexive edge strength for several subfamilies of the generalized friendship graphs.
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spelling doaj.art-ee1dd33e7af244c5b884314dbaebda252022-12-22T01:14:03ZengMDPI AGMathematics2227-73902017-11-01546710.3390/math5040067math5040067On Edge Irregular Reflexive Labellings for the Generalized Friendship GraphsMartin Bača0Muhammad Irfan1Joe Ryan2Andrea Semaničová-Feňovčíková3Dushyant Tanna4Department of Applied Mathematics and Informatics, Technical University, 042 00 Košice, SlovakiaAbdus Salam School of Mathematical Sciences, GC University, 54 000 Lahore, PakistanSchool of Electrical Engineering and Computer Science, the University of Newcastle, Callaghan, NSW 2308, AustraliaDepartment of Applied Mathematics and Informatics, Technical University, 042 00 Košice, SlovakiaSchool of Mathematical and Physical Sciences, the University of Newcastle, Callaghan, NSW 2308, AustraliaWe study an edge irregular reflexive k-labelling for the generalized friendship graphs, also known as flowers (a symmetric collection of cycles meeting at a common vertex), and determine the exact value of the reflexive edge strength for several subfamilies of the generalized friendship graphs.https://www.mdpi.com/2227-7390/5/4/67edge irregular reflexive labellingreflexive edge strengthcyclesgeneralized friendship graph
spellingShingle Martin Bača
Muhammad Irfan
Joe Ryan
Andrea Semaničová-Feňovčíková
Dushyant Tanna
On Edge Irregular Reflexive Labellings for the Generalized Friendship Graphs
Mathematics
edge irregular reflexive labelling
reflexive edge strength
cycles
generalized friendship graph
title On Edge Irregular Reflexive Labellings for the Generalized Friendship Graphs
title_full On Edge Irregular Reflexive Labellings for the Generalized Friendship Graphs
title_fullStr On Edge Irregular Reflexive Labellings for the Generalized Friendship Graphs
title_full_unstemmed On Edge Irregular Reflexive Labellings for the Generalized Friendship Graphs
title_short On Edge Irregular Reflexive Labellings for the Generalized Friendship Graphs
title_sort on edge irregular reflexive labellings for the generalized friendship graphs
topic edge irregular reflexive labelling
reflexive edge strength
cycles
generalized friendship graph
url https://www.mdpi.com/2227-7390/5/4/67
work_keys_str_mv AT martinbaca onedgeirregularreflexivelabellingsforthegeneralizedfriendshipgraphs
AT muhammadirfan onedgeirregularreflexivelabellingsforthegeneralizedfriendshipgraphs
AT joeryan onedgeirregularreflexivelabellingsforthegeneralizedfriendshipgraphs
AT andreasemanicovafenovcikova onedgeirregularreflexivelabellingsforthegeneralizedfriendshipgraphs
AT dushyanttanna onedgeirregularreflexivelabellingsforthegeneralizedfriendshipgraphs