NDLI: A Note on the Paired-Domination Subdivision Number of Trees

Please wait, while we are loading the content...

A Note on the Paired-Domination Subdivision Number of Trees

Content Provider	MDPI
Author	Qiang, Xiaoli Kosari, Saeed Shao, Zehui Sheikholeslami, Seyed Mahmoud Chellali, Mustapha Karami, Hossein
Copyright Year	2021
Description	For a graph G with no isolated vertex, let $γpr(G)$ and $sdγpr(G)$ denote the paired-domination and paired-domination subdivision numbers, respectively. In this note, we show that if T is a tree of order $n\geq4$ different from a healthy spider (subdivided star), then $sdγpr(T)\leqmin{γpr(T)2+1,n2},$ improving the $(n-1)$ -upper bound that was recently proven.
Starting Page	181
e-ISSN	22277390
DOI	10.3390/math9020181
Journal	Mathematics
Issue Number	2
Volume Number	9
Language	English
Publisher	MDPI
Publisher Date	2021-01-18
Access Restriction	Open
Subject Keyword	Mathematics Logic Paired-domination Number Paired-domination Subdivision Number
Content Type	Text
Resource Type	Article

Sl.	Authority	Responsibilities	Communication Details
1	Ministry of Education (GoI), Department of Higher Education	Sanctioning Authority	https://www.education.gov.in/ict-initiatives
2	Indian Institute of Technology Kharagpur	Host Institute of the Project: The host institute of the project is responsible for providing infrastructure support and hosting the project	https://www.iitkgp.ac.in
3	National Digital Library of India Office, Indian Institute of Technology Kharagpur	The administrative and infrastructural headquarters of the project	Dr. B. Sutradhar bsutra@ndl.gov.in
4	Project PI / Joint PI	Principal Investigator and Joint Principal Investigators of the project	Dr. B. Sutradhar bsutra@ndl.gov.in Prof. Saswat Chakrabarti will be added soon
5	Website/Portal (Helpdesk)	Queries regarding NDLI and its services	support@ndl.gov.in
6	Contents and Copyright Issues	Queries related to content curation and copyright issues	content@ndl.gov.in
7	National Digital Library of India Club (NDLI Club)	Queries related to NDLI Club formation, support, user awareness program, seminar/symposium, collaboration, social media, promotion, and outreach	clubsupport@ndl.gov.in
8	Digital Preservation Centre (DPC)	Assistance with digitizing and archiving copyright-free printed books	dpc@ndl.gov.in
9	IDR Setup or Support	Queries related to establishment and support of Institutional Digital Repository (IDR) and IDR workshops	idr@ndl.gov.in