| 关于m-HPK(n1,n2,n3,n4)-残差图 |
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| 引用本文： | 段辉明,曾波,李永红.关于m-HPK(n1,n2,n3,n4)-残差图[J].数学杂志,2014,34(2):324-334. |
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| 作者姓名： | 段辉明 曾波 李永红 |
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| 作者单位： | 重庆邮电大学数理学院, 重庆 400065,重庆工商大学商务策划学院, 重庆 400067,重庆邮电大学数理学院, 重庆 400065 |
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| 基金项目： | 国家自然科学基金(71271226);重庆自然科学自然科学基金(KJ120520) |
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| 摘 要： | 本文研究了3-维超平面完备残差图以及m 重3-维超平面完备残差图. 利用容斥原理以及集合的运算性质等方法, 分别获得了3-维超平面完备残差图和m 重3-维超平面完备残差图的最下阶以及二者的唯一极图, 将文献1] 中定义的残差图从平面推广到超平面上.
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| 关 键 词： | 残差图 邻域 同构 独立集 |
| 收稿时间： | 2012/12/4 0:00:00 |
| 修稿时间： | 2013/4/1 0:00:00 |
ON CONNECTED m-HPK(n1,n2,n3,n4)-RESIDUAL GRAPHS |
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| DUAN Hui-ming,ZENG Bo and LI Yong-hong.ON CONNECTED m-HPK(n1,n2,n3,n4)-RESIDUAL GRAPHS[J].Journal of Mathematics,2014,34(2):324-334. |
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| Authors: | DUAN Hui-ming ZENG Bo and LI Yong-hong |
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| Institution: | College of Mathematics and Physics, Chongqing University of Posts and Telecommunications, Chongqing 400065, China,School of Business Planning, Chongqing Technology and Business University, Chongqing 400067, China and College of Mathematics and Physics, Chongqing University of Posts and Telecommunications, Chongqing 400065, China |
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| Abstract: | In this paper, we study 3-dimensional hyperplane complete-residual graphs and m multiply 3-dimensional hyperplane complete-residual graphs. By using excluding principle and set operation, we obtain the minimum order 3-dimensional hyperplane complete-residual graphs and m multiply 3-dimensional hyperplane complete-residual graphs. In addition, we extend definition of plane complete residual graph in 1] to hyperplane. |
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| Keywords: | residually graph close neighborhood isomorphic independent set |
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