Counting perfect matchings in polyominoes with an application to the dimer problem
P. John, H. Sachs, H. Zernitz (1987)
Applicationes Mathematicae
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Displaying similar documents to “A Unified Theory of Perfect and Related Functions”
Counting perfect matchings in polyominoes with an application to the dimer problem
C-closed functions
G. L. Garg, B. Kumar (1989)
Matematički Vesnik
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The number of 1-factors in some polyhexes.
Tošić, Ratko, Vojvodić, Dušan (2000)
Novi Sad Journal of Mathematics
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A basic approach to the perfect extensions of spaces
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.
On near-perfect and deficient-perfect numbers
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.
A Property Of The Number Of Perfect Matchings Of A Graph
Ivan Gutman (1991)
Publications de l'Institut Mathématique
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Linking the closure and orthogonality properties of perfect morphisms in a category
David Holgate (1998)
Commentationes Mathematicae Universitatis Carolinae
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We define perfect morphisms to be those which are the pullback of their image under a given endofunctor. The interplay of these morphisms with other generalisations of perfect maps is investigated. In particular, closure operator theory is used to link closure and orthogonality properties of such morphisms. A number of detailed examples are given.
Odd perfect numbers of a special form
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.