کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
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4648337 | 1342407 | 2012 | 7 صفحه PDF | دانلود رایگان |
An octagon quadrangle [OQOQ] is the graph consisting of an 8-cycle (x1,x2,…,x8)(x1,x2,…,x8) with the two additional edges {x1,x4}{x1,x4} and {x5,x8}{x5,x8}. An octagon quadrangle system of order vv and index λλ [OQSOQS or OQSλ(v)OQSλ(v)] is a pair (X,H)(X,H), where XX is a finite set of vv vertices and HH is a collection of edge disjoint OQsOQs (blocks ) which partition the edge set of λKvλKv defined on XX. In this paper (i) C4C4-perfect OQSλ(v)OQSλ(v), (ii) C8C8-perfect OQSλ(v)OQSλ(v) and (iii) strongly perfect OQSλ(v)OQSλ(v) are studied for λ=10λ=10, that is the smallest index for which the spectrum of the admissible values of vv is the largest possible. This paper is the continuation of Berardi et al. (2010) [1], where the spectrum is determined for λ=5λ=5, that is the index for which the spectrum of the admissible values of vv is the minimum possible.
Journal: Discrete Mathematics - Volume 312, Issue 3, 6 February 2012, Pages 614–620