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A larger class of reconstructible tournaments
No full textAbstractIn this paper we show that the hamiltonian tournaments Hm, m ⩾ 4, with a normal simple quotient are reconstructible from their cards if we exclude one tournament of order 5 and two tournaments with 6 vertices. We denote by the class of such tournaments. The class of hamiltonian tournaments with a normal simple quotient contains the hamiltonian tournaments with the least number of 3-cycles (see [7]) and the ones that have only one hamiltonian cycle (see [19]). Of course, contains the class of normal tournaments with at least 4 vertices which was already considered in [8].The class has a small overlapping with the class of reconstructible simply disconnected tournaments (see [19]), which extends the class ℋ ℳ of reconstructible hamiltonian Moon tournaments (see [12]), and an empty intersection with the class ℛ of reducible tournaments with at least 5 vertices considered in [13]. More precisely and the classes and intersect in their tournaments with simple quotient C3
Topological structures on -sets based on structured lattices
No full textPreprint del Dipartim. di Matematica "E. De Giorgi", N. 5/2005. pag 1
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