Abstract
The total vertex irregularity strength of a graph <em>G=</em>(<em>V,E</em>) is the minimum integer <em>k</em> so that there is a mapping from <em>V ∪ E</em> to the set {<em>1,2,...,k</em>} so that the vertex-weights (i.e., the sum of labels of a vertex together with the edges incident to it) are all distinct. In this note, we present a new sufficient condition for a tree to have total vertex irregularity strength ⌈(<em>n</em><sub>1</sub><em>+1</em>)<em>/2</em>⌉<em><em>, where <em>n<sub>1</sub></em> is the number of vertices of degree one in the tree.</em></em>
Sign-in/Register to access full text options 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
