FIRST-ORDER NETWORK COHERENCE AND EIGENTIME IDENTITY ON THE WEIGHTED CAYLEY NETWORKS
In this paper, we first study the first-order network coherence, characterized by the entire mean first-passage time (EMFPT) for weight-dependent walk, on the weighted Cayley networks with the weight factor. The analytical formula of the EMFPT is obtained by the definition of the EMFPT. The obtained...
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| Autor*in: |
DAI, MEIFENG [verfasserIn] |
|---|
| Format: |
Artikel |
|---|---|
| Sprache: |
Englisch |
| Erschienen: |
2017 |
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| Rechteinformationen: |
Nutzungsrecht: © 2017, World Scientific Publishing Company |
|---|
| Übergeordnetes Werk: |
Enthalten in: Fractals - Singapore [u.a.] : World Scient. Publ., 1993, 25(2017), 5 |
|---|---|
| Übergeordnetes Werk: |
volume:25 ; year:2017 ; number:5 |
| Links: |
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| DOI / URN: |
10.1142/S0218348X17500499 |
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| 520 | |a In this paper, we first study the first-order network coherence, characterized by the entire mean first-passage time (EMFPT) for weight-dependent walk, on the weighted Cayley networks with the weight factor. The analytical formula of the EMFPT is obtained by the definition of the EMFPT. The obtained results show that the scalings of first-order coherence with network size obey four laws along with the range of the weight factor. Then, we study eigentime identity quantifying as the sum of reciprocals of all nonzero normalized Laplacian eigenvalues on the weighted Cayley networks with the weight factor. We show that all their eigenvalues can be obtained by calculating the roots of several small-degree polynomials defined recursively. The obtained results show that the scalings of the eigentime identity on the weighted Cayley networks obey two laws along with the range of the weight factor. | ||
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| 700 | 1 | |a SU, WEIYI |4 oth | |
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10.1142/S0218348X17500499 doi PQ20171228 (DE-627)OLC1998279413 (DE-599)GBVOLC1998279413 (PRQ)w779-5c2e8871ebf5750e9d2c2d499d196dde1062440a35ea2d004d00a2cc7b3c6d2e0 (KEY)0226350520170000025000500000firstordernetworkcoherenceandeigentimeidentityonth DE-627 ger DE-627 rakwb eng 530 ZDB 31.59 bkl 31.41 bkl DAI, MEIFENG verfasserin aut FIRST-ORDER NETWORK COHERENCE AND EIGENTIME IDENTITY ON THE WEIGHTED CAYLEY NETWORKS 2017 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier In this paper, we first study the first-order network coherence, characterized by the entire mean first-passage time (EMFPT) for weight-dependent walk, on the weighted Cayley networks with the weight factor. The analytical formula of the EMFPT is obtained by the definition of the EMFPT. The obtained results show that the scalings of first-order coherence with network size obey four laws along with the range of the weight factor. Then, we study eigentime identity quantifying as the sum of reciprocals of all nonzero normalized Laplacian eigenvalues on the weighted Cayley networks with the weight factor. We show that all their eigenvalues can be obtained by calculating the roots of several small-degree polynomials defined recursively. The obtained results show that the scalings of the eigentime identity on the weighted Cayley networks obey two laws along with the range of the weight factor. Nutzungsrecht: © 2017, World Scientific Publishing Company WANG, XIAOQIAN oth ZONG, YUE oth ZOU, JIAHUI oth CHEN, YUFEI oth SU, WEIYI oth Enthalten in Fractals Singapore [u.a.] : World Scient. Publ., 1993 25(2017), 5 (DE-627)165681659 (DE-600)1162990-3 (DE-576)062316737 0218-348X nnns volume:25 year:2017 number:5 http://dx.doi.org/10.1142/S0218348X17500499 Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-PHY SSG-OLC-MAT SSG-OPC-MAT 31.59 AVZ 31.41 AVZ AR 25 2017 5 |
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10.1142/S0218348X17500499 doi PQ20171228 (DE-627)OLC1998279413 (DE-599)GBVOLC1998279413 (PRQ)w779-5c2e8871ebf5750e9d2c2d499d196dde1062440a35ea2d004d00a2cc7b3c6d2e0 (KEY)0226350520170000025000500000firstordernetworkcoherenceandeigentimeidentityonth DE-627 ger DE-627 rakwb eng 530 ZDB 31.59 bkl 31.41 bkl DAI, MEIFENG verfasserin aut FIRST-ORDER NETWORK COHERENCE AND EIGENTIME IDENTITY ON THE WEIGHTED CAYLEY NETWORKS 2017 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier In this paper, we first study the first-order network coherence, characterized by the entire mean first-passage time (EMFPT) for weight-dependent walk, on the weighted Cayley networks with the weight factor. The analytical formula of the EMFPT is obtained by the definition of the EMFPT. The obtained results show that the scalings of first-order coherence with network size obey four laws along with the range of the weight factor. Then, we study eigentime identity quantifying as the sum of reciprocals of all nonzero normalized Laplacian eigenvalues on the weighted Cayley networks with the weight factor. We show that all their eigenvalues can be obtained by calculating the roots of several small-degree polynomials defined recursively. The obtained results show that the scalings of the eigentime identity on the weighted Cayley networks obey two laws along with the range of the weight factor. Nutzungsrecht: © 2017, World Scientific Publishing Company WANG, XIAOQIAN oth ZONG, YUE oth ZOU, JIAHUI oth CHEN, YUFEI oth SU, WEIYI oth Enthalten in Fractals Singapore [u.a.] : World Scient. Publ., 1993 25(2017), 5 (DE-627)165681659 (DE-600)1162990-3 (DE-576)062316737 0218-348X nnns volume:25 year:2017 number:5 http://dx.doi.org/10.1142/S0218348X17500499 Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-PHY SSG-OLC-MAT SSG-OPC-MAT 31.59 AVZ 31.41 AVZ AR 25 2017 5 |
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10.1142/S0218348X17500499 doi PQ20171228 (DE-627)OLC1998279413 (DE-599)GBVOLC1998279413 (PRQ)w779-5c2e8871ebf5750e9d2c2d499d196dde1062440a35ea2d004d00a2cc7b3c6d2e0 (KEY)0226350520170000025000500000firstordernetworkcoherenceandeigentimeidentityonth DE-627 ger DE-627 rakwb eng 530 ZDB 31.59 bkl 31.41 bkl DAI, MEIFENG verfasserin aut FIRST-ORDER NETWORK COHERENCE AND EIGENTIME IDENTITY ON THE WEIGHTED CAYLEY NETWORKS 2017 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier In this paper, we first study the first-order network coherence, characterized by the entire mean first-passage time (EMFPT) for weight-dependent walk, on the weighted Cayley networks with the weight factor. The analytical formula of the EMFPT is obtained by the definition of the EMFPT. The obtained results show that the scalings of first-order coherence with network size obey four laws along with the range of the weight factor. Then, we study eigentime identity quantifying as the sum of reciprocals of all nonzero normalized Laplacian eigenvalues on the weighted Cayley networks with the weight factor. We show that all their eigenvalues can be obtained by calculating the roots of several small-degree polynomials defined recursively. The obtained results show that the scalings of the eigentime identity on the weighted Cayley networks obey two laws along with the range of the weight factor. Nutzungsrecht: © 2017, World Scientific Publishing Company WANG, XIAOQIAN oth ZONG, YUE oth ZOU, JIAHUI oth CHEN, YUFEI oth SU, WEIYI oth Enthalten in Fractals Singapore [u.a.] : World Scient. Publ., 1993 25(2017), 5 (DE-627)165681659 (DE-600)1162990-3 (DE-576)062316737 0218-348X nnns volume:25 year:2017 number:5 http://dx.doi.org/10.1142/S0218348X17500499 Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-PHY SSG-OLC-MAT SSG-OPC-MAT 31.59 AVZ 31.41 AVZ AR 25 2017 5 |
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10.1142/S0218348X17500499 doi PQ20171228 (DE-627)OLC1998279413 (DE-599)GBVOLC1998279413 (PRQ)w779-5c2e8871ebf5750e9d2c2d499d196dde1062440a35ea2d004d00a2cc7b3c6d2e0 (KEY)0226350520170000025000500000firstordernetworkcoherenceandeigentimeidentityonth DE-627 ger DE-627 rakwb eng 530 ZDB 31.59 bkl 31.41 bkl DAI, MEIFENG verfasserin aut FIRST-ORDER NETWORK COHERENCE AND EIGENTIME IDENTITY ON THE WEIGHTED CAYLEY NETWORKS 2017 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier In this paper, we first study the first-order network coherence, characterized by the entire mean first-passage time (EMFPT) for weight-dependent walk, on the weighted Cayley networks with the weight factor. The analytical formula of the EMFPT is obtained by the definition of the EMFPT. The obtained results show that the scalings of first-order coherence with network size obey four laws along with the range of the weight factor. Then, we study eigentime identity quantifying as the sum of reciprocals of all nonzero normalized Laplacian eigenvalues on the weighted Cayley networks with the weight factor. We show that all their eigenvalues can be obtained by calculating the roots of several small-degree polynomials defined recursively. The obtained results show that the scalings of the eigentime identity on the weighted Cayley networks obey two laws along with the range of the weight factor. Nutzungsrecht: © 2017, World Scientific Publishing Company WANG, XIAOQIAN oth ZONG, YUE oth ZOU, JIAHUI oth CHEN, YUFEI oth SU, WEIYI oth Enthalten in Fractals Singapore [u.a.] : World Scient. Publ., 1993 25(2017), 5 (DE-627)165681659 (DE-600)1162990-3 (DE-576)062316737 0218-348X nnns volume:25 year:2017 number:5 http://dx.doi.org/10.1142/S0218348X17500499 Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-PHY SSG-OLC-MAT SSG-OPC-MAT 31.59 AVZ 31.41 AVZ AR 25 2017 5 |
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FIRST-ORDER NETWORK COHERENCE AND EIGENTIME IDENTITY ON THE WEIGHTED CAYLEY NETWORKS |
| abstract |
In this paper, we first study the first-order network coherence, characterized by the entire mean first-passage time (EMFPT) for weight-dependent walk, on the weighted Cayley networks with the weight factor. The analytical formula of the EMFPT is obtained by the definition of the EMFPT. The obtained results show that the scalings of first-order coherence with network size obey four laws along with the range of the weight factor. Then, we study eigentime identity quantifying as the sum of reciprocals of all nonzero normalized Laplacian eigenvalues on the weighted Cayley networks with the weight factor. We show that all their eigenvalues can be obtained by calculating the roots of several small-degree polynomials defined recursively. The obtained results show that the scalings of the eigentime identity on the weighted Cayley networks obey two laws along with the range of the weight factor. |
| abstractGer |
In this paper, we first study the first-order network coherence, characterized by the entire mean first-passage time (EMFPT) for weight-dependent walk, on the weighted Cayley networks with the weight factor. The analytical formula of the EMFPT is obtained by the definition of the EMFPT. The obtained results show that the scalings of first-order coherence with network size obey four laws along with the range of the weight factor. Then, we study eigentime identity quantifying as the sum of reciprocals of all nonzero normalized Laplacian eigenvalues on the weighted Cayley networks with the weight factor. We show that all their eigenvalues can be obtained by calculating the roots of several small-degree polynomials defined recursively. The obtained results show that the scalings of the eigentime identity on the weighted Cayley networks obey two laws along with the range of the weight factor. |
| abstract_unstemmed |
In this paper, we first study the first-order network coherence, characterized by the entire mean first-passage time (EMFPT) for weight-dependent walk, on the weighted Cayley networks with the weight factor. The analytical formula of the EMFPT is obtained by the definition of the EMFPT. The obtained results show that the scalings of first-order coherence with network size obey four laws along with the range of the weight factor. Then, we study eigentime identity quantifying as the sum of reciprocals of all nonzero normalized Laplacian eigenvalues on the weighted Cayley networks with the weight factor. We show that all their eigenvalues can be obtained by calculating the roots of several small-degree polynomials defined recursively. The obtained results show that the scalings of the eigentime identity on the weighted Cayley networks obey two laws along with the range of the weight factor. |
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| title_short |
FIRST-ORDER NETWORK COHERENCE AND EIGENTIME IDENTITY ON THE WEIGHTED CAYLEY NETWORKS |
| url |
http://dx.doi.org/10.1142/S0218348X17500499 |
| remote_bool |
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| author2 |
WANG, XIAOQIAN ZONG, YUE ZOU, JIAHUI CHEN, YUFEI SU, WEIYI |
| author2Str |
WANG, XIAOQIAN ZONG, YUE ZOU, JIAHUI CHEN, YUFEI SU, WEIYI |
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| doi_str |
10.1142/S0218348X17500499 |
| up_date |
2024-07-04T04:41:09.030Z |
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7.397437 |