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摘要: |
本文研究了图G的符号全控制数γst(G)的问题.利用穷标法及分类讨论法,主要得到了两类图n·Fm+1和n·Wm+1的符号全控制数的精确值,从而改正了已知结果,这里图n·Fm+1和n·Wm+1分别表示把n个扇图的中心点和n个轮图的中心点粘接而得到的图. |
关键词: 符号全控制函数 符号全控制数 图n·Fm+1 图n·Wm+1 |
DOI: |
分类号:O157.5 |
基金项目:国家自然科学基金资助(11701257;11801253);河南省教育厅高校重点项目资助(18A110025;18A110026);河南省科技计划项目资助(182102310930;182102310955);(2017-JSJYYB-074);(2017XJJG054). |
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SIGNED TOTAL DOMINATION NUMBER OF TWO CLASSES GRAPHS |
MA Meng-han,HONG Xia
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Abstract: |
In this paper, we study the signed total domination number γst(G) of graphs G. We obtain exact values of the signed total domination number of two classes graph n·Fm+1 and n·Wm+1 by exhaustived method and classified discussion, which is corrected the known results, where n·Fm+1 and n·Wm+1 are denote a graph obtained by identifying the center vertex of n Fan graphs Fm+1 and identifying the center vertex of n Wheel graphs Wm+1, respectively. |
Key words: signed total domination function signed total domination number graph n·Fm+1 graph n·Wm+1 |