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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Main Authors: Sheng Chen, Xiaomei Chen, Chao Xia
Format: Article
Language:English
Published: Wiley 2013-01-01
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