On the rank of weighted graphs
Let be a weighted graph and be the adjacency matrix of . The rank of is the rank of . If the weight of each edge of is 1 or , is also called a signed graph. In this paper, we characterize weighted graphs with rank 2, weighted -free graphs with rank 3 and weighted graphs containing pendent vertices w...
Ausführliche Beschreibung
Autor*in: |
Zhang, W. J [verfasserIn] |
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Artikel |
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Sprache: |
Englisch |
Erschienen: |
2017 |
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Rechteinformationen: |
Nutzungsrecht: © 2016 Informa UK Limited, trading as Taylor & Francis Group 2016 |
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Schlagwörter: |
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Übergeordnetes Werk: |
Enthalten in: Linear and multilinear algebra - Reading : Taylor & Francis, 1973, 65(2017), 3, Seite 635-652 |
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Übergeordnetes Werk: |
volume:65 ; year:2017 ; number:3 ; pages:635-652 |
Links: |
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DOI / URN: |
10.1080/03081087.2016.1201039 |
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10.1080/03081087.2016.1201039 doi PQ20170501 (DE-627)OLC1992459118 (DE-599)GBVOLC1992459118 (PRQ)c2197-2b8025a5cc03df02676ab077da6a0735909e96b3d0efc1cff9b729cca80631ec0 (KEY)0064897320170000065000300635ontherankofweightedgraphs DE-627 ger DE-627 rakwb eng 510 DE-600 31.25 bkl Zhang, W. J verfasserin aut On the rank of weighted graphs 2017 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier Let be a weighted graph and be the adjacency matrix of . The rank of is the rank of . If the weight of each edge of is 1 or , is also called a signed graph. In this paper, we characterize weighted graphs with rank 2, weighted -free graphs with rank 3 and weighted graphs containing pendent vertices with rank 4. We also characterize signed graphs with rank 4. Nutzungsrecht: © 2016 Informa UK Limited, trading as Taylor & Francis Group 2016 rank signed graph 05C50 Weighted graph Graphs Yu, A. M oth Enthalten in Linear and multilinear algebra Reading : Taylor & Francis, 1973 65(2017), 3, Seite 635-652 (DE-627)129400602 (DE-600)186457-9 (DE-576)014783029 0308-1087 nnns volume:65 year:2017 number:3 pages:635-652 http://dx.doi.org/10.1080/03081087.2016.1201039 Volltext http://www.tandfonline.com/doi/abs/10.1080/03081087.2016.1201039 http://search.proquest.com/docview/1853335414 GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-MAT SSG-OPC-MAT 31.25 AVZ AR 65 2017 3 635-652 |
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Let be a weighted graph and be the adjacency matrix of . The rank of is the rank of . If the weight of each edge of is 1 or , is also called a signed graph. In this paper, we characterize weighted graphs with rank 2, weighted -free graphs with rank 3 and weighted graphs containing pendent vertices with rank 4. We also characterize signed graphs with rank 4. |
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Let be a weighted graph and be the adjacency matrix of . The rank of is the rank of . If the weight of each edge of is 1 or , is also called a signed graph. In this paper, we characterize weighted graphs with rank 2, weighted -free graphs with rank 3 and weighted graphs containing pendent vertices with rank 4. We also characterize signed graphs with rank 4. |
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Let be a weighted graph and be the adjacency matrix of . The rank of is the rank of . If the weight of each edge of is 1 or , is also called a signed graph. In this paper, we characterize weighted graphs with rank 2, weighted -free graphs with rank 3 and weighted graphs containing pendent vertices with rank 4. We also characterize signed graphs with rank 4. |
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J</subfield><subfield code="e">verfasserin</subfield><subfield code="4">aut</subfield></datafield><datafield tag="245" ind1="1" ind2="0"><subfield code="a">On the rank of weighted graphs</subfield></datafield><datafield tag="264" ind1=" " ind2="1"><subfield code="c">2017</subfield></datafield><datafield tag="336" ind1=" " ind2=" "><subfield code="a">Text</subfield><subfield code="b">txt</subfield><subfield code="2">rdacontent</subfield></datafield><datafield tag="337" ind1=" " ind2=" "><subfield code="a">ohne Hilfsmittel zu benutzen</subfield><subfield code="b">n</subfield><subfield code="2">rdamedia</subfield></datafield><datafield tag="338" ind1=" " ind2=" "><subfield code="a">Band</subfield><subfield code="b">nc</subfield><subfield code="2">rdacarrier</subfield></datafield><datafield tag="520" ind1=" " ind2=" "><subfield code="a">Let be a weighted graph and be the adjacency matrix of . The rank of is the rank of . If the weight of each edge of is 1 or , is also called a signed graph. In this paper, we characterize weighted graphs with rank 2, weighted -free graphs with rank 3 and weighted graphs containing pendent vertices with rank 4. We also characterize signed graphs with rank 4.</subfield></datafield><datafield tag="540" ind1=" " ind2=" "><subfield code="a">Nutzungsrecht: © 2016 Informa UK Limited, trading as Taylor & Francis Group 2016</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">rank</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">signed graph</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">05C50</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Weighted graph</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Graphs</subfield></datafield><datafield tag="700" ind1="1" ind2=" "><subfield code="a">Yu, A. 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