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Original scientific paper

Factorizations of the complete graphs into factor of subdiameter two and factors of diameter three

D. Vukičević


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Abstract

We search for the minimal number of vertices of the complete graph that can be decomposed into one factor of subdiameter 2 and k factors of diameter 3. We find as follows: exact values for k≤3, upper and lower bounds for small values of k and
\[\lim_{k\rightarrow \infty }\frac{\phi \left( k\right) }{k}=2.\]

Keywords

factorization; decomposition; graph

Hrčak ID:

772

URI

https://hrcak.srce.hr/772

Publication date:

17.12.2002.

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