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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P. John, H. Sachs, H. Zernitz (1987)
Applicationes Mathematicae
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Gordeev, N.L. (2005)
Zapiski Nauchnykh Seminarov POMI
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G. L. Garg, B. Kumar (1989)
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)
Publications de l'Institut Mathématique
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Tomasz Rybicki (2019)
Archivum Mathematicum
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Groups of homeomorphisms related to locally trivial bundles are studied. It is shown that these groups are perfect. Moreover if the homeomorphism isotopy group of the base is bounded then the bundle homeomorphism group of the total space is uniformly perfect.
Ivan Gutman (1989)
Publications de l'Institut Mathématique
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