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一類(lèi)二元關(guān)系的公共后繼指數(shù)集
Let V = {α1, α2,…, αn} be a finite set with n ≥ 2 and Pn(V) the set of all primitive binary relations on V. For Q ∈ Pn(V), denote by G(Q) the directed graph corresponding to Q.For positive integer d ≤ n, let Pn(V, d) = {Q:Q ∈ Pn(V) and G(Q) contains exactly d loops}. In this paper, it is proved that the set of common consequent indices of binary relations in Pn(V, d) is {1, 2 , n - [d/2]}. Furthermore, the minimal extremal binary relations are described.
作 者: 馬紅平 苗正科 MA Hong Ping MIAO Zheng Ke 作者單位: 馬紅平,MA Hong Ping(School of Mathematical Sciences, Xuzhou Normal University, Jiangsu 221116, China)苗正科,MIAO Zheng Ke(School of Mathematical Sciences, Xuzhou Normal University, Jiangsu 221116, China;Institute of Applied Mathematics, Academy of Mathematics and System Science, Chinese Academy of Science, Beijing 100080, China)
刊 名: 數(shù)學(xué)研究與評(píng)論 ISTIC PKU 英文刊名: JOURNAL OF MATHEMATICAL RESEARCH AND EXPOSITION 年,卷(期): 2008 28(3) 分類(lèi)號(hào): O157.5 關(guān)鍵詞: common consequent index primitive relation directed graph【一類(lèi)二元關(guān)系的公共后繼指數(shù)集】相關(guān)文章:
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