Spanning tree results for graphs and multigraphs: a matrix-theoretic approach
This book is concerned with the optimization problem of maximizing the number of spanning trees of a multigraph. Since a spanning tree is a minimally connected subgraph, graphs and multigraphs having more of these are, in some sense, immune to disconnection by edge failure. We employ a matrix-theore...
Gespeichert in:
| 1. Verfasser: | |
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| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Singapore
World Scientific Pub. Co.
c2015
|
| Schlagworte: | |
| Online-Zugang: | FHN01 Volltext |
| Zusammenfassung: | This book is concerned with the optimization problem of maximizing the number of spanning trees of a multigraph. Since a spanning tree is a minimally connected subgraph, graphs and multigraphs having more of these are, in some sense, immune to disconnection by edge failure. We employ a matrix-theoretic approach to the calculation of the number of spanning trees. The authors envision this as a research aid that is of particular interest to graduate students or advanced undergraduate students and researchers in the area of network reliability theory. This would encompass graph theorists of all stripes, including mathematicians, computer scientists, electrical and computer engineers, and operations researchers |
| Beschreibung: | x, 175 p. ill |
| ISBN: | 9789814566049 |
Internformat
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| 520 | |a This book is concerned with the optimization problem of maximizing the number of spanning trees of a multigraph. Since a spanning tree is a minimally connected subgraph, graphs and multigraphs having more of these are, in some sense, immune to disconnection by edge failure. We employ a matrix-theoretic approach to the calculation of the number of spanning trees. The authors envision this as a research aid that is of particular interest to graduate students or advanced undergraduate students and researchers in the area of network reliability theory. This would encompass graph theorists of all stripes, including mathematicians, computer scientists, electrical and computer engineers, and operations researchers | ||
| 650 | 4 | |a Spanning trees (Graph theory) | |
| 650 | 4 | |a Multigraph | |
| 700 | 1 | |a Saccoman, John T. |d 1964- |e Sonstige |4 oth | |
| 700 | 1 | |a Suffel, Charles L. |e Sonstige |4 oth | |
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Datensatz im Suchindex
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| author | Gross, Daniel J. |
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| dewey-ones | 511 - General principles of mathematics |
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| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| format | Electronic eBook |
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| id | DE-604.BV044640252 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-10T07:57:57Z |
| institution | BVB |
| isbn | 9789814566049 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-030038225 |
| oclc_num | 1012661742 |
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| owner | DE-92 |
| owner_facet | DE-92 |
| physical | x, 175 p. ill |
| psigel | ZDB-124-WOP ZDB-124-WOP FHN_PDA_WOP |
| publishDate | 2015 |
| publishDateSearch | 2015 |
| publishDateSort | 2015 |
| publisher | World Scientific Pub. Co. |
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| spelling | Gross, Daniel J. Verfasser aut Spanning tree results for graphs and multigraphs a matrix-theoretic approach Daniel J. Gross, John T. Saccoman, Charles L. Suffel Singapore World Scientific Pub. Co. c2015 x, 175 p. ill txt rdacontent c rdamedia cr rdacarrier This book is concerned with the optimization problem of maximizing the number of spanning trees of a multigraph. Since a spanning tree is a minimally connected subgraph, graphs and multigraphs having more of these are, in some sense, immune to disconnection by edge failure. We employ a matrix-theoretic approach to the calculation of the number of spanning trees. The authors envision this as a research aid that is of particular interest to graduate students or advanced undergraduate students and researchers in the area of network reliability theory. This would encompass graph theorists of all stripes, including mathematicians, computer scientists, electrical and computer engineers, and operations researchers Spanning trees (Graph theory) Multigraph Saccoman, John T. 1964- Sonstige oth Suffel, Charles L. Sonstige oth Erscheint auch als Druck-Ausgabe 9789814566032 http://www.worldscientific.com/worldscibooks/10.1142/8963#t=toc Verlag URL des Erstveroeffentlichers Volltext |
| spellingShingle | Gross, Daniel J. Spanning tree results for graphs and multigraphs a matrix-theoretic approach Spanning trees (Graph theory) Multigraph |
| title | Spanning tree results for graphs and multigraphs a matrix-theoretic approach |
| title_auth | Spanning tree results for graphs and multigraphs a matrix-theoretic approach |
| title_exact_search | Spanning tree results for graphs and multigraphs a matrix-theoretic approach |
| title_full | Spanning tree results for graphs and multigraphs a matrix-theoretic approach Daniel J. Gross, John T. Saccoman, Charles L. Suffel |
| title_fullStr | Spanning tree results for graphs and multigraphs a matrix-theoretic approach Daniel J. Gross, John T. Saccoman, Charles L. Suffel |
| title_full_unstemmed | Spanning tree results for graphs and multigraphs a matrix-theoretic approach Daniel J. Gross, John T. Saccoman, Charles L. Suffel |
| title_short | Spanning tree results for graphs and multigraphs |
| title_sort | spanning tree results for graphs and multigraphs a matrix theoretic approach |
| title_sub | a matrix-theoretic approach |
| topic | Spanning trees (Graph theory) Multigraph |
| topic_facet | Spanning trees (Graph theory) Multigraph |
| url | http://www.worldscientific.com/worldscibooks/10.1142/8963#t=toc |
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