@article{10.5614/ejgta.2018.6.2.5,
author = {S. Susilawati and Edy Tri Baskoro and Rinovia Simanjuntak},
title = {Total Vertex Irregularity Strength of Trees with Maximum Degree Five},
number = {2},
volume = {6},
journal = {Electronic Journal of Graph Theory and Applications},
year = {2018},
abstract = {In 2010, Nurdin, Baskoro, Salman and Gaos conjectured that the total vertex irregularity strength of any tree T is determined only by the number of vertices of degrees 1, 2 and 3 in T. This paper will confirm this conjecture by considering all trees with maximum degree five. Furthermore, we also characterize all such trees having the total vertex irregularity strength either t1, t2 or t3, where $t_{i} = \lceil (1+\sum\sb{j=1}\sp{i}n_{j})/(i+1)\rceil$ and ni is the number of vertices of degree i.},
doi = {10.5614/ejgta.2018.6.2.5},
pages = {250--257},
}