Abstract
The $(2,1)$-total number $\lambda_2^t(G)$ of a graph $G$ is the width of the smallest range of integers that suffices to label the vertices and edges of $G$ such that no two adjacent vertices or two adjacent edges have the same label and the difference between the label of a vertex and its incident edges is at least $2$. In this paper, we characterize completely the $(2,1)$-total number of the join of two paths and the join of two cycles.
Citation
Weifan Wang. Jing Huang. Danjun Huang. Sun Haina. "(2,1)-TOTAL NUMBER OF JOINS OF PATHS AND CYCLES." Taiwanese J. Math. 16 (2) 605 - 619, 2012. https://doi.org/10.11650/twjm/1500406605
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