On k-Distance Pell Numbers in 3-Edge-Coloured Graphs
We define in this paper new distance generalizations of the Pell numbers and the companion Pell numbers. We give a graph interpretation of these numbers with respect to a special 3-edge colouring of the graph.
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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Wiley
2014-01-01
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| Series: | Journal of Applied Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2014/428020 |
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| _version_ | 1832550306762719232 |
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| author | Krzysztof Piejko Iwona Włoch |
| author_facet | Krzysztof Piejko Iwona Włoch |
| author_sort | Krzysztof Piejko |
| collection | DOAJ |
| description | We define in this paper new distance generalizations of the Pell numbers and the companion Pell numbers. We give a graph interpretation of these numbers with respect to a special 3-edge colouring of the graph. |
| format | Article |
| id | doaj-art-d7dd53f76f124d3d82d57bff3ae95fac |
| institution | Kabale University |
| issn | 1110-757X 1687-0042 |
| language | English |
| publishDate | 2014-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Applied Mathematics |
| spelling | doaj-art-d7dd53f76f124d3d82d57bff3ae95fac2025-02-03T06:07:15ZengWileyJournal of Applied Mathematics1110-757X1687-00422014-01-01201410.1155/2014/428020428020On k-Distance Pell Numbers in 3-Edge-Coloured GraphsKrzysztof Piejko0Iwona Włoch1Faculty of Mathematics and Applied Physics, Rzeszow University of Technology, Aleja Powstańców Warszawy 12, 35-959 Rzeszów, PolandFaculty of Mathematics and Applied Physics, Rzeszow University of Technology, Aleja Powstańców Warszawy 12, 35-959 Rzeszów, PolandWe define in this paper new distance generalizations of the Pell numbers and the companion Pell numbers. We give a graph interpretation of these numbers with respect to a special 3-edge colouring of the graph.http://dx.doi.org/10.1155/2014/428020 |
| spellingShingle | Krzysztof Piejko Iwona Włoch On k-Distance Pell Numbers in 3-Edge-Coloured Graphs Journal of Applied Mathematics |
| title | On k-Distance Pell Numbers in 3-Edge-Coloured Graphs |
| title_full | On k-Distance Pell Numbers in 3-Edge-Coloured Graphs |
| title_fullStr | On k-Distance Pell Numbers in 3-Edge-Coloured Graphs |
| title_full_unstemmed | On k-Distance Pell Numbers in 3-Edge-Coloured Graphs |
| title_short | On k-Distance Pell Numbers in 3-Edge-Coloured Graphs |
| title_sort | on k distance pell numbers in 3 edge coloured graphs |
| url | http://dx.doi.org/10.1155/2014/428020 |
| work_keys_str_mv | AT krzysztofpiejko onkdistancepellnumbersin3edgecolouredgraphs AT iwonawłoch onkdistancepellnumbersin3edgecolouredgraphs |