On the Decomposition of the Complete Directed Graph into Factors with Given Diameters
Eliška Tomová (1970)
Matematický časopis
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Eliška Tomová (1970)
Matematický časopis
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Eliška Tomová (1986)
Mathematica Slovaca
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Eliška Tomová (1977)
Mathematica Slovaca
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Damir Vukicević (2003)
Discussiones Mathematicae Graph Theory
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We analyze a minimum number of vertices of a complete graph that can be decomposed into one factor of diameter 2 and k factors of diameter at most 3. We find exact values for k ≤ 4 and the asymptotic value of the ratio of this number and k when k tends to infinity. We also find the asymptotic value of the ratio of the number of vertices of the smallest complete graph that can be decomposed into p factors of diameter 2 and k factors of diameter 3 and number k when p is fixed. ...