Exact values of girth for some graphs D(k,q) and upper bounds of the order of cages
Let q be a prime power and k∈{5,7,9,11}. In this paper it is shown that the girth of a graph D(k,q) is equal to k+5. As a consequence, explicit examples of graphs which provide the best known upper bounds of the order of (r,g)-cages, r≥5, g∈{10,14,16}, are given.
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| Datum: | 2008 |
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| Format: | Artikel |
| Sprache: | English |
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Інститут прикладної математики і механіки НАН України
2008
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| Schriftenreihe: | Algebra and Discrete Mathematics |
| Online Zugang: | http://dspace.nbuv.gov.ua/handle/123456789/152392 |
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| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Zitieren: | Exact values of girth for some graphs D(k,q) and upper bounds of the order of cages / P. Pikuta // Algebra and Discrete Mathematics. — 2008. — Vol. 7, № 2. — С. 83–88. — Бібліогр.: 13 назв. — англ. |
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irk-123456789-1523922019-06-11T01:25:33Z Exact values of girth for some graphs D(k,q) and upper bounds of the order of cages Pikuta, P. Let q be a prime power and k∈{5,7,9,11}. In this paper it is shown that the girth of a graph D(k,q) is equal to k+5. As a consequence, explicit examples of graphs which provide the best known upper bounds of the order of (r,g)-cages, r≥5, g∈{10,14,16}, are given. 2008 Article Exact values of girth for some graphs D(k,q) and upper bounds of the order of cages / P. Pikuta // Algebra and Discrete Mathematics. — 2008. — Vol. 7, № 2. — С. 83–88. — Бібліогр.: 13 назв. — англ. 1726-3255 2000 Mathematics Subject Classification:05C35, 05C38. http://dspace.nbuv.gov.ua/handle/123456789/152392 en Algebra and Discrete Mathematics Інститут прикладної математики і механіки НАН України |
| institution |
Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| collection |
DSpace DC |
| language |
English |
| description |
Let q be a prime power and k∈{5,7,9,11}. In this paper it is shown that the girth of a graph D(k,q) is equal to k+5. As a consequence, explicit examples of graphs which provide the best known upper bounds of the order of (r,g)-cages, r≥5, g∈{10,14,16}, are given. |
| format |
Article |
| author |
Pikuta, P. |
| spellingShingle |
Pikuta, P. Exact values of girth for some graphs D(k,q) and upper bounds of the order of cages Algebra and Discrete Mathematics |
| author_facet |
Pikuta, P. |
| author_sort |
Pikuta, P. |
| title |
Exact values of girth for some graphs D(k,q) and upper bounds of the order of cages |
| title_short |
Exact values of girth for some graphs D(k,q) and upper bounds of the order of cages |
| title_full |
Exact values of girth for some graphs D(k,q) and upper bounds of the order of cages |
| title_fullStr |
Exact values of girth for some graphs D(k,q) and upper bounds of the order of cages |
| title_full_unstemmed |
Exact values of girth for some graphs D(k,q) and upper bounds of the order of cages |
| title_sort |
exact values of girth for some graphs d(k,q) and upper bounds of the order of cages |
| publisher |
Інститут прикладної математики і механіки НАН України |
| publishDate |
2008 |
| url |
http://dspace.nbuv.gov.ua/handle/123456789/152392 |
| citation_txt |
Exact values of girth for some graphs D(k,q) and upper bounds of the order of cages / P. Pikuta // Algebra and Discrete Mathematics. — 2008. — Vol. 7, № 2. — С. 83–88. — Бібліогр.: 13 назв. — англ. |
| series |
Algebra and Discrete Mathematics |
| work_keys_str_mv |
AT pikutap exactvaluesofgirthforsomegraphsdkqandupperboundsoftheorderofcages |
| first_indexed |
2025-07-13T02:59:32Z |
| last_indexed |
2025-07-13T02:59:32Z |
| _version_ |
1837498968518426624 |