Invariants for Weighted Digraphs under One-Sided State Splittings
Using Matrix-Forest theorem and Matrix-Tree theorem, we present some invariants for weighted digraphs under state in-splittings or out-splittings.
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Format: | Article |
Language: | English |
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Wiley
2013-01-01
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Series: | Journal of Applied Mathematics |
Online Access: | http://dx.doi.org/10.1155/2013/823769 |
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author | Sheng Chen Xiaomei Chen Chao Xia |
author_facet | Sheng Chen Xiaomei Chen Chao Xia |
author_sort | Sheng Chen |
collection | DOAJ |
description | Using Matrix-Forest theorem and Matrix-Tree theorem, we present some invariants for weighted digraphs under state in-splittings or out-splittings. |
format | Article |
id | doaj-art-8c71af605184408ab3349ba12e833a9c |
institution | Kabale University |
issn | 1110-757X 1687-0042 |
language | English |
publishDate | 2013-01-01 |
publisher | Wiley |
record_format | Article |
series | Journal of Applied Mathematics |
spelling | doaj-art-8c71af605184408ab3349ba12e833a9c2025-02-03T05:59:30ZengWileyJournal of Applied Mathematics1110-757X1687-00422013-01-01201310.1155/2013/823769823769Invariants for Weighted Digraphs under One-Sided State SplittingsSheng Chen0Xiaomei Chen1Chao Xia2Department of Mathematics, Harbin Institute of Technology, Harbin 150001, ChinaDepartment of Mathematics, Harbin Institute of Technology, Harbin 150001, ChinaDepartment of Mathematics, Harbin Institute of Technology, Harbin 150001, ChinaUsing Matrix-Forest theorem and Matrix-Tree theorem, we present some invariants for weighted digraphs under state in-splittings or out-splittings.http://dx.doi.org/10.1155/2013/823769 |
spellingShingle | Sheng Chen Xiaomei Chen Chao Xia Invariants for Weighted Digraphs under One-Sided State Splittings Journal of Applied Mathematics |
title | Invariants for Weighted Digraphs under One-Sided State Splittings |
title_full | Invariants for Weighted Digraphs under One-Sided State Splittings |
title_fullStr | Invariants for Weighted Digraphs under One-Sided State Splittings |
title_full_unstemmed | Invariants for Weighted Digraphs under One-Sided State Splittings |
title_short | Invariants for Weighted Digraphs under One-Sided State Splittings |
title_sort | invariants for weighted digraphs under one sided state splittings |
url | http://dx.doi.org/10.1155/2013/823769 |
work_keys_str_mv | AT shengchen invariantsforweighteddigraphsunderonesidedstatesplittings AT xiaomeichen invariantsforweighteddigraphsunderonesidedstatesplittings AT chaoxia invariantsforweighteddigraphsunderonesidedstatesplittings |