Forest decompositions of graphs with cyclomatic number 2
The tree polynomials [1] of the basic graphs with cyclomatic number 2 are derived. From these polynomials, results about forest decompositions are deduced. Explicit formulae are given for the number of decompositions of the basic graphs into forest with specified finite cardinalities.
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| Format: | Article |
| Language: | English |
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Wiley
1983-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
| Subjects: | |
| Online Access: | http://dx.doi.org/10.1155/S0161171283000113 |
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| _version_ | 1832556071092224000 |
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| author | E. J. Farrell |
| author_facet | E. J. Farrell |
| author_sort | E. J. Farrell |
| collection | DOAJ |
| description | The tree polynomials [1] of the basic graphs with cyclomatic number 2 are
derived. From these polynomials, results about forest decompositions are deduced. Explicit formulae are given for the number of decompositions of the basic graphs into forest with specified finite cardinalities. |
| format | Article |
| id | doaj-art-6e2c9cae0ca14882ab179dfd11b5efef |
| institution | Kabale University |
| issn | 0161-1712 1687-0425 |
| language | English |
| publishDate | 1983-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Mathematics and Mathematical Sciences |
| spelling | doaj-art-6e2c9cae0ca14882ab179dfd11b5efef2025-02-03T05:46:28ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04251983-01-016112513610.1155/S0161171283000113Forest decompositions of graphs with cyclomatic number 2E. J. Farrell0Department of Mathematics, The University of the West Indies, West Indies, St. Augustine, Trinidad and TobagoThe tree polynomials [1] of the basic graphs with cyclomatic number 2 are derived. From these polynomials, results about forest decompositions are deduced. Explicit formulae are given for the number of decompositions of the basic graphs into forest with specified finite cardinalities.http://dx.doi.org/10.1155/S0161171283000113tree polynomial chainforest decompostionscircuitrestricted graphgraphs with chains attachedcyclomatic number. |
| spellingShingle | E. J. Farrell Forest decompositions of graphs with cyclomatic number 2 International Journal of Mathematics and Mathematical Sciences tree polynomial chain forest decompostions circuit restricted graph graphs with chains attached cyclomatic number. |
| title | Forest decompositions of graphs with cyclomatic number 2 |
| title_full | Forest decompositions of graphs with cyclomatic number 2 |
| title_fullStr | Forest decompositions of graphs with cyclomatic number 2 |
| title_full_unstemmed | Forest decompositions of graphs with cyclomatic number 2 |
| title_short | Forest decompositions of graphs with cyclomatic number 2 |
| title_sort | forest decompositions of graphs with cyclomatic number 2 |
| topic | tree polynomial chain forest decompostions circuit restricted graph graphs with chains attached cyclomatic number. |
| url | http://dx.doi.org/10.1155/S0161171283000113 |
| work_keys_str_mv | AT ejfarrell forestdecompositionsofgraphswithcyclomaticnumber2 |