دوره 15، شماره 1 - ( 1-1399 )
جلد 15 شماره 1 صفحات 13-1 |
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Susanti Y, Puspitasari Y I, Khotimah H. On Total Edge Irregularity Strength of Staircase Graphs and Related Graphs. IJMSI 2020; 15 (1) :1-13
URL: http://ijmsi.ir/article-1-1121-fa.html
URL: http://ijmsi.ir/article-1-1121-fa.html
On Total Edge Irregularity Strength of Staircase Graphs and Related Graphs. مجله علوم ریاضی و انفورماتیک. 1399; 15 (1) :1-13
چکیده:
Let G=(V(G),E(G)) be a connected simple undirected graph with non empty vertex set V(G) and edge set E(G). For a positive integer k, by an edge irregular total k-labeling we mean a function f : V(G)UE(G) --> {1,2,...,k} such that for each two edges ab and cd, it follows that f(a)+f(ab)+f(b) is different from f(c)+f(cd)+f(d), i.e. every two edges have distinct weights. The minimum k for which G has an edge irregular total k-labeling is called the total edge irregularity strength of graph G and denoted by tes(G). In this paper, we determine the exact value of total edge irregularity strength for staircase graphs, double staircase graphs and mirror-staircase graphs.
فهرست منابع
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