Methods of Perfect Coloring
R. Pérez-Gómez, Ceferino Ruiz (2000)
Visual Mathematics
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R. Pérez-Gómez, Ceferino Ruiz (2000)
Visual Mathematics
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Applicationes Mathematicae
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Gordeev, N.L. (2005)
Zapiski Nauchnykh Seminarov POMI
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Matematički Vesnik
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M. N. Mukherjee, S. Raychaudhuri (1993)
Matematički Vesnik
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Tošić, Ratko, Vojvodić, Dušan (2000)
Novi Sad Journal of Mathematics
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Min Tang, Xiao-Zhi Ren, Meng Li (2013)
Colloquium Mathematicae
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For a positive integer n, let σ(n) denote the sum of the positive divisors of n. Let d be a proper divisor of n. We call n a near-perfect number if σ(n) = 2n + d, and a deficient-perfect number if σ(n) = 2n - d. We show that there is no odd near-perfect number with three distinct prime divisors and determine all deficient-perfect numbers with at most two distinct prime factors.
Tom De Medts, Attila Maróti (2013)
Rendiconti del Seminario Matematico della Università di Padova
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Tomohiro Yamada (2005)
Colloquium Mathematicae
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We show that there is an effectively computable upper bound of odd perfect numbers whose Euler factors are powers of fixed exponent.
Calvin F. K. Jung (1973)
Colloquium Mathematicae
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Ivan Gutman (1991)
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Publications de l'Institut Mathématique
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Giorgio Nordo (1997)
Commentationes Mathematicae Universitatis Carolinae
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In this paper we generalize the notion of of a Tychonoff space to a generic extension of any space by introducing the concept of . This allow us to simplify the treatment in a basic way and in a more general setting. Some [S], [S], and [D]’s results are improved and new characterizations for perfect (Hausdorff) extensions of spaces are obtained.