Exact values of girth for some graphs D(k,q) and upper bounds of the order of cages

dc.contributor.author	Pikuta, P.
dc.date.accessioned	2019-06-10T19:05:12Z
dc.date.available	2019-06-10T19:05:12Z
dc.date.issued	2008
dc.identifier.citation	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.	uk_UA
dc.identifier.issn	1726-3255
dc.identifier.other	2000 Mathematics Subject Classification:05C35, 05C38.
dc.identifier.uri	http://dspace.nbuv.gov.ua/handle/123456789/152392
dc.description.abstract	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.	uk_UA
dc.language.iso	en	uk_UA
dc.publisher	Інститут прикладної математики і механіки НАН України	uk_UA
dc.relation.ispartof	Algebra and Discrete Mathematics
dc.title	Exact values of girth for some graphs D(k,q) and upper bounds of the order of cages	uk_UA
dc.type	Article	uk_UA
dc.status	published earlier	uk_UA