On k-super graceful graphs with extremal maximum vertex degree

Let GV(,E) be a simple and loopless graph with |V|vertices and |E|edges. For k ≥ 1, a graph G is called k-super graceful if there is a bijective labeling f:V∪ E → {|i k ≤i≤k + |V| + |E| − 1} with f (vu) = | fv() − fu()| for every edge vu∈ E. In this paper, we study the existence of k-super graceful...

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Published in:Journal of Discrete Mathematical Sciences and Cryptography
Main Author: Lau G.-C.; Shiu W.C.; Ng H.-K.; Gao Z.-B.; Schaffer K.
Format: Article
Language:English
Published: Taru Publications 2024
Online Access:https://www.scopus.com/inward/record.uri?eid=2-s2.0-85205214824&doi=10.47974%2fJDMSC-1722&partnerID=40&md5=86316704d614ffea01ba9a751224de38
id 2-s2.0-85205214824
spelling 2-s2.0-85205214824
Lau G.-C.; Shiu W.C.; Ng H.-K.; Gao Z.-B.; Schaffer K.
On k-super graceful graphs with extremal maximum vertex degree
2024
Journal of Discrete Mathematical Sciences and Cryptography
27
6
10.47974/JDMSC-1722
https://www.scopus.com/inward/record.uri?eid=2-s2.0-85205214824&doi=10.47974%2fJDMSC-1722&partnerID=40&md5=86316704d614ffea01ba9a751224de38
Let GV(,E) be a simple and loopless graph with |V|vertices and |E|edges. For k ≥ 1, a graph G is called k-super graceful if there is a bijective labeling f:V∪ E → {|i k ≤i≤k + |V| + |E| − 1} with f (vu) = | fv() − fu()| for every edge vu∈ E. In this paper, we study the existence of k-super graceful labeling of certain graphs with extremal maximum vertex degree. © 2024, Taru Publications. All rights reserved.
Taru Publications
9720529
English
Article

author Lau G.-C.; Shiu W.C.; Ng H.-K.; Gao Z.-B.; Schaffer K.
spellingShingle Lau G.-C.; Shiu W.C.; Ng H.-K.; Gao Z.-B.; Schaffer K.
On k-super graceful graphs with extremal maximum vertex degree
author_facet Lau G.-C.; Shiu W.C.; Ng H.-K.; Gao Z.-B.; Schaffer K.
author_sort Lau G.-C.; Shiu W.C.; Ng H.-K.; Gao Z.-B.; Schaffer K.
title On k-super graceful graphs with extremal maximum vertex degree
title_short On k-super graceful graphs with extremal maximum vertex degree
title_full On k-super graceful graphs with extremal maximum vertex degree
title_fullStr On k-super graceful graphs with extremal maximum vertex degree
title_full_unstemmed On k-super graceful graphs with extremal maximum vertex degree
title_sort On k-super graceful graphs with extremal maximum vertex degree
publishDate 2024
container_title Journal of Discrete Mathematical Sciences and Cryptography
container_volume 27
container_issue 6
doi_str_mv 10.47974/JDMSC-1722
url https://www.scopus.com/inward/record.uri?eid=2-s2.0-85205214824&doi=10.47974%2fJDMSC-1722&partnerID=40&md5=86316704d614ffea01ba9a751224de38
description Let GV(,E) be a simple and loopless graph with |V|vertices and |E|edges. For k ≥ 1, a graph G is called k-super graceful if there is a bijective labeling f:V∪ E → {|i k ≤i≤k + |V| + |E| − 1} with f (vu) = | fv() − fu()| for every edge vu∈ E. In this paper, we study the existence of k-super graceful labeling of certain graphs with extremal maximum vertex degree. © 2024, Taru Publications. All rights reserved.
publisher Taru Publications
issn 9720529
language English
format Article
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record_format scopus
collection Scopus
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