Kyungpook Mathematical Journal

  • 제57권2호
  • /
  • Pages.301-307
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  • 2017
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  • 1225-6951(pISSN)
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  • 0454-8124(eISSN)
경북대학교 자연과학대학 수학과 (Department of Mathematics, Kyungpook National University)
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Graph Equations Involving Tensor Product of Graphs

  • Patil, H.P. (Department of Mathematics, Pondicherry University, Kalapet Campus) ;
  • Raja, V. (Department of Mathematics, Pondicherry University, Kalapet Campus)
  • 투고 : 2015.02.24
  • 심사 : 2017.01.21
  • 발행 : 2017.06.23
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초록

In this paper, we solve the following four graph equations $L^k(G)=H{\oplus}J$; $M(G)=H{\oplus}J$; ${\bar{L^k(G)}}=H{\oplus}J$ and ${\bar{M(G)}}=H{\oplus}J$, where J is $nK_2$ for $n{\geq}1$. Here, the equality symbol = means the isomorphism between the corresponding graphs. In particular, we shall obtain all pairs of graphs (G, H), which satisfy the above mentioned equations, upto isomorphism.

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참고문헌

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