New graph characteristic, the total H-irregularity strength of a graph, is introduced. Estimations on this parameter are obtained and for some families of graphs the precise values of this parameter are proved.
@article{bwmeta1.element.doi-10_7151_dmgt_1980, author = {Faraha Ashraf and Martin Ba\v ca and Marcela Lasc\'sakov\'a and Andrea Semani\v cov\'a-Fe\v nov\v c\'\i kov\'a}, title = {On H-Irregularity Strength Of Graphs}, journal = {Discussiones Mathematicae Graph Theory}, volume = {37}, year = {2017}, pages = {1067-1078}, language = {en}, url = {http://dml.mathdoc.fr/item/bwmeta1.element.doi-10_7151_dmgt_1980} }
Faraha Ashraf; Martin Bača; Marcela Lascśaková; Andrea Semaničová-Feňovčíková. On H-Irregularity Strength Of Graphs. Discussiones Mathematicae Graph Theory, Tome 37 (2017) pp. 1067-1078. http://gdmltest.u-ga.fr/item/bwmeta1.element.doi-10_7151_dmgt_1980/