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学者姓名:陈荣斯
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This paper deals with the structure of essentially disconnected benzenoid systems. The normal components induced digraph is introduced. It is proved that for an essentially disconnected benzenoid system, its normal components induced digraph is acyclic and connected. The lower bond for the number of normal components of an essentially disconnected benzenoid system is investigated. Moreover, the essentially disconnected benzenoid systems with two or three normal components are classified and constructed.
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GB/T 7714 | Bo, Zheng , Chen, Rongsi . The Structure Feature of Essentially Disconnected Benzenoid Systems [J]. | MATCH-COMMUNICATIONS IN MATHEMATICAL AND IN COMPUTER CHEMISTRY , 2010 , 64 (2) : 497-511 . |
MLA | Bo, Zheng 等. "The Structure Feature of Essentially Disconnected Benzenoid Systems" . | MATCH-COMMUNICATIONS IN MATHEMATICAL AND IN COMPUTER CHEMISTRY 64 . 2 (2010) : 497-511 . |
APA | Bo, Zheng , Chen, Rongsi . The Structure Feature of Essentially Disconnected Benzenoid Systems . | MATCH-COMMUNICATIONS IN MATHEMATICAL AND IN COMPUTER CHEMISTRY , 2010 , 64 (2) , 497-511 . |
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In this paper we prove that there is no concealed rion-Kekulean coronoid systems with vertical bar H vertical bar <= 14 benzenoid rings. Moreover, we construct all the concealed non-Kekulean coronoid systems with vertical bar H vertical bar = 15 benzenoid rings.
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GB/T 7714 | Yu, Cui , Chen, Rong Si . Concealed non-Kekulean single coronoid systems with vertical bar H vertical bar ]MATCH-COMMUNICATIONS IN MATHEMATICAL AND IN COMPUTER CHEMISTRY , 2008 , 60 (1) : 157-178 . |
MLA | Yu, Cui 等. "Concealed non-Kekulean single coronoid systems with vertical bar H vertical bar MATCH-COMMUNICATIONS IN MATHEMATICAL AND IN COMPUTER CHEMISTRY 60 . 1 (2008) : 157-178 . |
APA | Yu, Cui , Chen, Rong Si . Concealed non-Kekulean single coronoid systems with vertical bar H vertical bar MATCH-COMMUNICATIONS IN MATHEMATICAL AND IN COMPUTER CHEMISTRY , 2008 , 60 (1) , 157-178 . |
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A maximum matching of a graph G is an edge set with the most independent edges of G. A fixed single (double) bond of G is an edge belongs to no (each) maximum matching of G; a fixed bond is either a fixed single bond or a fixed double bond. Let G be a polyhex with bipartition (W, B) satisfying vertical bar W vertical bar = vertical bar B vertical bar. In this paper, we give sufficient and necessary conditions which enable us to determine the size of a maximum matching of G and to recognize the fixed bonds of G.
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GB/T 7714 | Liu, Yuannian , Chen, Rong Si . The maximum matching's size and the fixed bonds in a polyhex G = (W, B) with vertical bar W vertical bar = vertical bar B vertical bar [J]. | MATCH-COMMUNICATIONS IN MATHEMATICAL AND IN COMPUTER CHEMISTRY , 2008 , 60 (1) : 143-156 . |
MLA | Liu, Yuannian 等. "The maximum matching's size and the fixed bonds in a polyhex G = (W, B) with vertical bar W vertical bar = vertical bar B vertical bar" . | MATCH-COMMUNICATIONS IN MATHEMATICAL AND IN COMPUTER CHEMISTRY 60 . 1 (2008) : 143-156 . |
APA | Liu, Yuannian , Chen, Rong Si . The maximum matching's size and the fixed bonds in a polyhex G = (W, B) with vertical bar W vertical bar = vertical bar B vertical bar . | MATCH-COMMUNICATIONS IN MATHEMATICAL AND IN COMPUTER CHEMISTRY , 2008 , 60 (1) , 143-156 . |
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Abstract :
A maximum matching of a graph G is an edge set with the most independent edges of G. A fixed single (double) bond of G is an edge belongs to no (each) maximum matching of G; a fixed bond is either a fixed single bond or a fixed double bond. Let G be a polyhex with bipartition (W, B) satisfying |W|= |B|. In this paper, we give sufficient and necessary conditions which enable us to determine the size of a maximum matching of G and to recognize the fixed bonds of G.
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GB/T 7714 | Liu, Y. , Chen, R.S. . The maximum matching's size and the fixed bonds in a polyhex G = (W, B) with |W| = |B| [J]. | Match , 2008 , 60 (1) : 143-156 . |
MLA | Liu, Y. 等. "The maximum matching's size and the fixed bonds in a polyhex G = (W, B) with |W| = |B|" . | Match 60 . 1 (2008) : 143-156 . |
APA | Liu, Y. , Chen, R.S. . The maximum matching's size and the fixed bonds in a polyhex G = (W, B) with |W| = |B| . | Match , 2008 , 60 (1) , 143-156 . |
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In this paper we prove that there is no concealed non-Kekuléan coronoid systems with |H| ≤ 14 benzenoid rings. Moreover, we construct all the concealed non-Kekuléan coronoid systems with |H| = 15 benzenoid rings.
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GB/T 7714 | Yu, C. , Chen, R.S. . Concealed non-Kekuléan single coronoid systems with |H| ≤ 15 benzenoid rings [J]. | Match , 2008 , 60 (1) : 157-178 . |
MLA | Yu, C. 等. "Concealed non-Kekuléan single coronoid systems with |H| ≤ 15 benzenoid rings" . | Match 60 . 1 (2008) : 157-178 . |
APA | Yu, C. , Chen, R.S. . Concealed non-Kekuléan single coronoid systems with |H| ≤ 15 benzenoid rings . | Match , 2008 , 60 (1) , 157-178 . |
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A generalized polyomino graph is regular if it can be subjected to a series of special cell-shedding transformations, square by square, down to a single square. In this paper, we give a necessary and sufficient condition to determine whether or not a generalized polyomino graph is regular.
Keyword :
cell cell perfect matching perfect matching polyomino polyomino regular regular shedding shedding square square
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GB/T 7714 | Wang, Shou-Zhong , Chen, Rong Si . Regular generalized polyomino graphs [J]. | JOURNAL OF MATHEMATICAL CHEMISTRY , 2007 , 42 (4) : 957-967 . |
MLA | Wang, Shou-Zhong 等. "Regular generalized polyomino graphs" . | JOURNAL OF MATHEMATICAL CHEMISTRY 42 . 4 (2007) : 957-967 . |
APA | Wang, Shou-Zhong , Chen, Rong Si . Regular generalized polyomino graphs . | JOURNAL OF MATHEMATICAL CHEMISTRY , 2007 , 42 (4) , 957-967 . |
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探讨了基本非正则完全广义四角系统的判定方法,得到了如下结论:完全广义四角系统G是基本但非正则的当且仅当满足以下条件:(1)G的所有完美匹配组成的集合K可分成两个互不相交的子集K1和K 2;(2)限制在Ki(i=1,2)下的一些固定单边组成一个第二型g-割Ri;(3){R1,R2}是一个标准组合割.
Keyword :
基本 基本 完全广义四角系统 完全广义四角系统 完美匹配 完美匹配 正则 正则 非正则 非正则
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GB/T 7714 | 江蓉 , 王守中 , 陈荣斯 . 非正则的完全广义四角系统 [J]. | 西南师范大学学报(自然科学版) , 2006 , 31 (2) : 19-22 . |
MLA | 江蓉 等. "非正则的完全广义四角系统" . | 西南师范大学学报(自然科学版) 31 . 2 (2006) : 19-22 . |
APA | 江蓉 , 王守中 , 陈荣斯 . 非正则的完全广义四角系统 . | 西南师范大学学报(自然科学版) , 2006 , 31 (2) , 19-22 . |
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A special type of covering of polyhexes introduced by Gutman [1] is investigated. It is proved that for a primitive coronoid system the number of covers is equal to the number of Kekule structures minus three.
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GB/T 7714 | Chen, Rongsi , Wei, Shouliu . Covering Polyhexes with Hexagons [J]. | MATCH-COMMUNICATIONS IN MATHEMATICAL AND IN COMPUTER CHEMISTRY , 2006 , 56 (3) : 669-678 . |
MLA | Chen, Rongsi 等. "Covering Polyhexes with Hexagons" . | MATCH-COMMUNICATIONS IN MATHEMATICAL AND IN COMPUTER CHEMISTRY 56 . 3 (2006) : 669-678 . |
APA | Chen, Rongsi , Wei, Shouliu . Covering Polyhexes with Hexagons . | MATCH-COMMUNICATIONS IN MATHEMATICAL AND IN COMPUTER CHEMISTRY , 2006 , 56 (3) , 669-678 . |
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Abstract :
A special type of covering of polyhexes introduced by Gutman [1] is investigated. It is proved that for a primitive coronoid system the number of covers is equal to the number of Kekulé structures minus three.
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GB/T 7714 | Chen, R. , Wei, S. . Covering polyhexes with hexagons [J]. | Match , 2006 , 56 (3) : 669-678 . |
MLA | Chen, R. 等. "Covering polyhexes with hexagons" . | Match 56 . 3 (2006) : 669-678 . |
APA | Chen, R. , Wei, S. . Covering polyhexes with hexagons . | Match , 2006 , 56 (3) , 669-678 . |
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An essentially disconnected coronoid system is defined as a Kekuléan coronoid system which has fixed (single or double) bonds and has at least one hole. It is proved that the subgraph, obtained by deleting all the fixed single bonds and all the end vertices of the fixed double bonds, is disconnected, and has at least two normal components, which generalizes the result for essentially disconnected benzenoid systems by Gutman et al [4].
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GB/T 7714 | Wei, S. , Chen, R.S. . Essentially disconnected character of essentially disconnected coronoid systems [J]. | Match , 2005 , 54 (1) : 153-162 . |
MLA | Wei, S. 等. "Essentially disconnected character of essentially disconnected coronoid systems" . | Match 54 . 1 (2005) : 153-162 . |
APA | Wei, S. , Chen, R.S. . Essentially disconnected character of essentially disconnected coronoid systems . | Match , 2005 , 54 (1) , 153-162 . |
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