Consistency in the Naturally Vertex-Signed Line Graph of a Signed Graph
A signed graph is a graph whose edges are signed. In a vertex-signed graph the vertices are signed. The latter is called consistent if the product of signs in every circle is positive. The line graph of a signed graph is naturally vertex-signed. Based on a characterization by Acharya, Acharya, and S...
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| Veröffentlicht in: | Bulletin of the Malaysian Mathematical Sciences Society 2016-06, Vol.39 (Suppl 1), p.307-314 |
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| container_issue | Suppl 1 |
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| container_title | Bulletin of the Malaysian Mathematical Sciences Society |
| container_volume | 39 |
| creator | Zaslavsky, Thomas |
| description | A
signed graph
is a graph whose edges are signed. In a
vertex-signed graph
the vertices are signed. The latter is called
consistent
if the product of signs in every circle is positive. The line graph of a signed graph is naturally vertex-signed. Based on a characterization by Acharya, Acharya, and Sinha in 2009, we give constructions for the signed simple graphs whose naturally vertex-signed line graph is consistent. |
| doi_str_mv | 10.1007/s40840-015-0281-3 |
| format | Article |
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signed graph
is a graph whose edges are signed. In a
vertex-signed graph
the vertices are signed. The latter is called
consistent
if the product of signs in every circle is positive. The line graph of a signed graph is naturally vertex-signed. Based on a characterization by Acharya, Acharya, and Sinha in 2009, we give constructions for the signed simple graphs whose naturally vertex-signed line graph is consistent.</description><identifier>ISSN: 0126-6705</identifier><identifier>EISSN: 2180-4206</identifier><identifier>DOI: 10.1007/s40840-015-0281-3</identifier><language>eng</language><publisher>Singapore: Springer Singapore</publisher><subject>Applications of Mathematics ; Graph theory ; Graphs ; Mathematics ; Mathematics and Statistics</subject><ispartof>Bulletin of the Malaysian Mathematical Sciences Society, 2016-06, Vol.39 (Suppl 1), p.307-314</ispartof><rights>Malaysian Mathematical Sciences Society and Universiti Sains Malaysia 2015</rights><rights>Bulletin of the Malaysian Mathematical Sciences Society is a copyright of Springer, (2015). All Rights Reserved.</rights><lds50>peer_reviewed</lds50><woscitedreferencessubscribed>false</woscitedreferencessubscribed><citedby>FETCH-LOGICAL-c316t-d2bb10acf602b95ec88390985f3e34d615d9af00d5c6fb89594e8151b18accc73</citedby><cites>FETCH-LOGICAL-c316t-d2bb10acf602b95ec88390985f3e34d615d9af00d5c6fb89594e8151b18accc73</cites></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><linktopdf>$$Uhttps://link.springer.com/content/pdf/10.1007/s40840-015-0281-3$$EPDF$$P50$$Gspringer$$H</linktopdf><linktohtml>$$Uhttps://link.springer.com/10.1007/s40840-015-0281-3$$EHTML$$P50$$Gspringer$$H</linktohtml><link.rule.ids>314,776,780,27901,27902,41464,42533,51294</link.rule.ids></links><search><creatorcontrib>Zaslavsky, Thomas</creatorcontrib><title>Consistency in the Naturally Vertex-Signed Line Graph of a Signed Graph</title><title>Bulletin of the Malaysian Mathematical Sciences Society</title><addtitle>Bull. Malays. Math. Sci. Soc</addtitle><description>A
signed graph
is a graph whose edges are signed. In a
vertex-signed graph
the vertices are signed. The latter is called
consistent
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signed graph
is a graph whose edges are signed. In a
vertex-signed graph
the vertices are signed. The latter is called
consistent
if the product of signs in every circle is positive. The line graph of a signed graph is naturally vertex-signed. Based on a characterization by Acharya, Acharya, and Sinha in 2009, we give constructions for the signed simple graphs whose naturally vertex-signed line graph is consistent.</abstract><cop>Singapore</cop><pub>Springer Singapore</pub><doi>10.1007/s40840-015-0281-3</doi><tpages>8</tpages></addata></record> |
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| language | eng |
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| subjects | Applications of Mathematics Graph theory Graphs Mathematics Mathematics and Statistics |
| title | Consistency in the Naturally Vertex-Signed Line Graph of a Signed Graph |
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