On the number of spanning trees and Eulerian tours in iterated line digraphs
This paper provides closed-form expressions for the number of directed spanning trees and Eulerian tours in iterated line graphs of regular digraphs. Some applications are also considered.
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Published in: | Discrete Applied Mathematics Vol. 73; no. 1; pp. 59 - 67 |
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Main Authors: | , , |
Format: | Journal Article |
Language: | English |
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Elsevier B.V
21-02-1997
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Abstract | This paper provides closed-form expressions for the number of directed spanning trees and Eulerian tours in iterated line graphs of regular digraphs. Some applications are also considered. |
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AbstractList | This paper provides closed-form expressions for the number of directed spanning trees and Eulerian tours in iterated line graphs of regular digraphs. Some applications are also considered. |
Author | Qiongxiang, Huang Huaxiao, Zhang Fuji, Zhang |
Author_xml | – sequence: 1 givenname: Zhang surname: Huaxiao fullname: Huaxiao, Zhang organization: Department of Mathematics, Xinjiang University, Urumqi, Xinjiang 830046, People's Republic of China – sequence: 2 givenname: Zhang surname: Fuji fullname: Fuji, Zhang organization: Department of Mathematics, Xiamen University, Xiamen 361005, People's Republic of China – sequence: 3 givenname: Huang surname: Qiongxiang fullname: Qiongxiang, Huang organization: Department of Mathematics, Xinjiang University, Urumqi, Xinjiang 830046, People's Republic of China |
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CitedBy_id | crossref_primary_10_1016_j_disc_2008_08_008 crossref_primary_10_1016_j_disc_2014_12_009 crossref_primary_10_1016_j_jcta_2010_04_001 |
Cites_doi | 10.1109/TC.1984.1676455 10.1109/TC.1987.1676963 10.1109/TC.1983.1676323 |
ContentType | Journal Article |
Copyright | 1997 |
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References | Imase, Itoh (BIB10) 1983; C-30 Xueliang, Fuji (BIB12) 1991; 91 Bermond (BIB1) 1983; Vol. 28 Biggs (BIB3) 1974 Bermond, Bermond (BIB2) 1986; 5 Fuji, Guoning (BIB7) 1983; 22 Hemminger (BIB9) 1972; Vol. 303 Chen (BIB4) 1971 Fiol (BIB5) 1984; C-33 Fuji, Xueliang, Qiongxiang, xin (BIB8) 1992; 13B Kautz (BIB11) 1969 Fiol (BIB6) 1987; C-36 Fiol (10.1016/0166-218X(95)00118-B_BIB5) 1984; C-33 Chen (10.1016/0166-218X(95)00118-B_BIB4) 1971 Kautz (10.1016/0166-218X(95)00118-B_BIB11) 1969 Fuji (10.1016/0166-218X(95)00118-B_BIB8) 1992; 13B Bermond (10.1016/0166-218X(95)00118-B_BIB1) 1983; Vol. 28 Hemminger (10.1016/0166-218X(95)00118-B_BIB9) 1972; Vol. 303 Fuji (10.1016/0166-218X(95)00118-B_BIB7) 1983; 22 Imase (10.1016/0166-218X(95)00118-B_BIB10) 1983; C-30 Biggs (10.1016/0166-218X(95)00118-B_BIB3) 1974 Bermond (10.1016/0166-218X(95)00118-B_BIB2_2) 1989; 5 Bermond (10.1016/0166-218X(95)00118-B_BIB2_1) 1986 Xueliang (10.1016/0166-218X(95)00118-B_BIB12) 1991; 91 Fiol (10.1016/0166-218X(95)00118-B_BIB6) 1987; C-36 |
References_xml | – volume: Vol. 303 start-page: 149 year: 1972 end-page: 163 ident: BIB9 article-title: Line digraphs publication-title: Proceedings of the Conference at Western Michigan University contributor: fullname: Hemminger – volume: 91 start-page: 189 year: 1991 end-page: 197 ident: BIB12 article-title: On the numbers of spanning trees and Eulerian tours in generalized de Bruijn graphs publication-title: Discrete Math. contributor: fullname: Fuji – volume: C-30 start-page: 782 year: 1983 end-page: 784 ident: BIB10 article-title: Design to minimize diameter on building-block networks publication-title: IEEE Trans. Comput. contributor: fullname: Itoh – volume: C-36 start-page: 702 year: 1987 end-page: 713 ident: BIB6 article-title: A discrete optimization problem in local networks and data alignment publication-title: IEEE Trans. Comput. contributor: fullname: Fiol – year: 1971 ident: BIB4 article-title: Applied Graph Theory contributor: fullname: Chen – volume: C-33 start-page: 400 year: 1984 end-page: 403 ident: BIB5 article-title: Line digraph iteration and the ( publication-title: IEEE Trans. Comput. contributor: fullname: Fiol – start-page: 219 year: 1969 end-page: 272 ident: BIB11 article-title: Design of optimal interconnection networks for multiprocessors publication-title: Architecture and Design of Digital Computers contributor: fullname: Kautz – year: 1974 ident: BIB3 article-title: Algebraic Graph Theory contributor: fullname: Biggs – volume: Vol. 28 year: 1983 ident: BIB1 article-title: Graph and interconnection networks: diameter and vulnerability publication-title: Surveys in Combinatorics contributor: fullname: Bermond – volume: 22 start-page: 1348 year: 1983 end-page: 1351 ident: BIB7 article-title: The characteristic polynomial of the directed line graph and a type of cospectral digraphs publication-title: Kexue Tongbao contributor: fullname: Guoning – volume: 13B start-page: 368 year: 1992 end-page: 373 ident: BIB8 article-title: Digraph categories and line digraph functors publication-title: Chinese Ann. Math. contributor: fullname: xin – volume: 5 start-page: 107 year: 1986 end-page: 123 ident: BIB2 article-title: Large fault tolerant interconnection networks publication-title: Proceedings of the 1st Japan International Conference on Graph Theory and Applications contributor: fullname: Bermond – volume: 22 start-page: 1348 year: 1983 ident: 10.1016/0166-218X(95)00118-B_BIB7 article-title: The characteristic polynomial of the directed line graph and a type of cospectral digraphs publication-title: Kexue Tongbao contributor: fullname: Fuji – volume: C-33 start-page: 400 year: 1984 ident: 10.1016/0166-218X(95)00118-B_BIB5 article-title: Line digraph iteration and the (d, k) digraph problem publication-title: IEEE Trans. Comput. doi: 10.1109/TC.1984.1676455 contributor: fullname: Fiol – volume: 5 start-page: 107 year: 1989 ident: 10.1016/0166-218X(95)00118-B_BIB2_2 contributor: fullname: Bermond – volume: C-36 start-page: 702 year: 1987 ident: 10.1016/0166-218X(95)00118-B_BIB6 article-title: A discrete optimization problem in local networks and data alignment publication-title: IEEE Trans. Comput. doi: 10.1109/TC.1987.1676963 contributor: fullname: Fiol – volume: C-30 start-page: 782 year: 1983 ident: 10.1016/0166-218X(95)00118-B_BIB10 article-title: Design to minimize diameter on building-block networks publication-title: IEEE Trans. Comput. doi: 10.1109/TC.1983.1676323 contributor: fullname: Imase – start-page: 219 year: 1969 ident: 10.1016/0166-218X(95)00118-B_BIB11 article-title: Design of optimal interconnection networks for multiprocessors contributor: fullname: Kautz – year: 1986 ident: 10.1016/0166-218X(95)00118-B_BIB2_1 article-title: Large fault tolerant interconnection networks contributor: fullname: Bermond – volume: Vol. 303 start-page: 149 year: 1972 ident: 10.1016/0166-218X(95)00118-B_BIB9 article-title: Line digraphs contributor: fullname: Hemminger – year: 1971 ident: 10.1016/0166-218X(95)00118-B_BIB4 contributor: fullname: Chen – volume: Vol. 28 year: 1983 ident: 10.1016/0166-218X(95)00118-B_BIB1 article-title: Graph and interconnection networks: diameter and vulnerability contributor: fullname: Bermond – year: 1974 ident: 10.1016/0166-218X(95)00118-B_BIB3 contributor: fullname: Biggs – volume: 13B start-page: 368 year: 1992 ident: 10.1016/0166-218X(95)00118-B_BIB8 article-title: Digraph categories and line digraph functors publication-title: Chinese Ann. Math. contributor: fullname: Fuji – volume: 91 start-page: 189 year: 1991 ident: 10.1016/0166-218X(95)00118-B_BIB12 article-title: On the numbers of spanning trees and Eulerian tours in generalized de Bruijn graphs publication-title: Discrete Math. contributor: fullname: Xueliang |
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Title | On the number of spanning trees and Eulerian tours in iterated line digraphs |
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