Self-invariant 1-Factorizations of Complete Graphs and Finite Bol Loops of Exponent 2∗
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چکیده
Let Ω be a complete graph on an even number n = 2m of vertices V = V(Ω) = {ω1, . . . , ωn} and assume that K = {k1, . . . , kn−1} is a 1-factorization of Ω. Identify every k ∈ K with the fixed point free involution of Sym(V) which interchanges the ends of every edge in k and set GK = 〈K〉. Then K is said to be self-invariant if Kk = K for all k ∈ K. Heiss [Hei] studied self-invariant 1-factorizations and conjectured
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تاریخ انتشار 2008