Signed total domination on Kronecker products of two complete graphs
نویسندگان
چکیده
Given two graphs G1 and G2, the Kronecker product G1 ⊗G2 of G1 and G2 is a graph which has vertex set V (G1⊗G2) = V (G1)×V (G2) and edge set E(G1 ⊗ G2) = {(u1, v1)(u2, v2) : u1u2 ∈ E(G1) and v1v2 ∈ E(G2)}. ∗ Research was partially supported by the National Nature Science Foundation of China (No. 11171207) and the Key Programs of Wuxi City College of Vocational Technology (WXCY2012-GZ-007). † Corresponding author. 96 Y. ZHAO, E. SHAN AND H. A. AHANGA In the present paper, we determine the exact value of the signed total domination number of Km ⊗Kn as a main result, and provide the exact values of the total domination number and the minus total domination number of Km ⊗Kn.
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ورودعنوان ژورنال:
- Australasian J. Combinatorics
دوره 56 شماره
صفحات -
تاریخ انتشار 2013