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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Видавець: | Інститут прикладної математики і механіки НАН України |
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Дата: | 2008 |
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Формат: | Стаття |
Мова: | English |
Опубліковано: |
Інститут прикладної математики і механіки НАН України
2008
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Назва видання: | Algebra and Discrete Mathematics |
Онлайн доступ: | http://dspace.nbuv.gov.ua/handle/123456789/152392 |
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Цитувати: | 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 |
2023-05-20T17:38:16Z |
last_indexed |
2023-05-20T17:38:16Z |
_version_ |
1796153745020551168 |