On Normal Product Of Graphs

J; BASKAR BABUJEE; R; JAGADESH

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On Normal Product Of Graphs

机译：关于图的正规积

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The Normal product G_1 o G_2 of two graphs G_1 (V_1, E_1) and G_2(V_2, E_2) is the graph with the vertex set V(G_1) × V(G_2) and edges consisting of those pairs of vertices (u_1, v_1) and (u_2, v_2) if and only if one of the following three conditions are satisfied, (ⅰ)u_1= u _2 and v_1 v_2 ∈ E_2 (ⅱ) v_1 = v_2 and u_1u_2 ∈ E_1 (ⅲ) u_1u_2 ∈ E_1 and v_1 v_2 ∈ E_2. In this paper we study Normal product for certain class of graphs and prove some interesting results.

机译：两个图G_1（V_1，E_1）和G_2（V_2，E_2）的正规积G_1 o G_2是顶点集为V（G_1）×V（G_2）且边由那些顶点对（u_1，v_1）组成的图）和（u_2，v_2）当且仅当满足以下三个条件之一时，（ⅰ）u_1 = u _2和v_1 v_2∈E_2（ⅱ）v_1 = v_2和u_1u_2∈E_1（ⅲ）u_1u_2∈E_1和v_1 v_2∈E_2。在本文中，我们研究了某些类图的正态积，并证明了一些有趣的结果。

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来源
《Acta Ciencia Indica. Mathematics》 |2008年第2期|p.705-710|共6页
作者
J; BASKAR BABUJEE; R; JAGADESH;
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作者单位

Anna University, Chennai - 602 103 (T.N.);

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原文格式 PDF
正文语种 eng
中图分类自然科学总论;
关键词
graph; path; cycle; complete graph; and wheel graph; cartesian product; regular; biregular;

机译：图;路径;周期;完整图;轮图;笛卡尔乘积;正则;双正则;

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On Normal Product Of Graphs

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