A ug 2 00 9 HAMILTON DECOMPOSITIONS OF REGULAR TOURNAMENTS
نویسنده
چکیده
We show that every sufficiently large regular tournament can almost completely be decomposed into edge-disjoint Hamilton cycles. More precisely, for each η > 0 every regular tournament G of sufficiently large order n contains at least (1/2 − η)n edge-disjoint Hamilton cycles. This gives an approximate solution to a conjecture of Kelly from 1968. Our result also extends to almost regular tournaments.
منابع مشابه
Hamilton Decompositions of Regular Tournaments
We show that every sufficiently large regular tournament can almost completely be decomposed into edge-disjoint Hamilton cycles. More precisely, for each η > 0 every regular tournament G of sufficiently large order n contains at least (1/2− η)n edge-disjoint Hamilton cycles. This gives an approximate solution to a conjecture of Kelly from 1968. Our result also extends to almost regular tourname...
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متن کاملA ug 2 00 5 RAINBOW HAMILTON CYCLES IN RANDOM REGULAR GRAPHS
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تاریخ انتشار 2009