| 扇形图的零因子半群 |
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| 引用本文： | 周科,苏华东. 扇形图的零因子半群[J]. 数学研究及应用, 2011, 31(5): 923-929. DOI: 10.3770/j.issn:1000-341X.2011.05.019 |
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| 作者姓名： | 周科 苏华东 |
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| 作者单位： | 广西师范学院数学科学学院, 广西 南宁 530023;广西师范学院数学科学学院, 广西 南宁 530023 |
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| 基金项目： | 广西省自然科学基金(Grant Nos.2010GXNSFB013048; 0991102, 2011GXNSFA018139), 广西省教育厅科研项目(Grant No.200911LX275). |
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| 摘 要： | Let Pn be a path graph with n vertices, and let Fn = Pn ∪ {c}, where c is adjacent to all vertices of Pn. The resulting graph is called a fan-shaped graph. The corresponding zero-divisor semigroups have been completely determined by Tang et al. for n = 2, 3, 4 and by Wu et al. for n ≥ 6, respectively. In this paper, we study the case for n = 5, and give all the corresponding zero-divisor semigroups of Fn.
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| 关 键 词： | commutative zero-divisor semigroup refinements of a star graph fan-shaped graph center. |
| 收稿时间： | 2010-03-25 |
| 修稿时间： | 2010-10-03 |
Zero-Divisor Semigroups of Fan-Shaped Graph |
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| Ke ZHOU and Hua Dong SU. Zero-Divisor Semigroups of Fan-Shaped Graph[J]. Journal of Mathematical Research with Applications, 2011, 31(5): 923-929. DOI: 10.3770/j.issn:1000-341X.2011.05.019 |
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| Authors: | Ke ZHOU and Hua Dong SU |
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| Affiliation: | School of Mathematical Sciences, Guangxi Teachers Education University,Guangxi 530023, P. R. China |
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| Abstract: | Let $P_{n}$ be a path graph with $n$ vertices, and let $F_n=P_ncup{c}$, where $c$ is adjacent to all vertices of $P_{n}$. The resulting graph is called a fan-shaped graph. The corresponding zero-divisor semigroups have been completely determined by Tang et al. for $n=2,3,4$ and by Wu et al. for $ngeq 6$, respectively. In this paper, we study the case for $n=5$, and give all the corresponding zero-divisor semigroups of $F_n$. |
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| Keywords: | commutative zero-divisor semigroup refinements of a star graph fan-shaped graph center. |
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