Enumeration and Construction of Row‐Column Designs
Journal of Combinatorial Designs, Volume 33, Issue 9, Page 357-372, September 2025.ABSTRACT We computationally completely enumerate a number of types of row‐column designs up to isotopism, including double, sesqui, and triple arrays as known from the literature, and two newly introduced types that we call mono arrays and AO‐arrays. We calculate autotopism group sizes for the designs we generate.
Gerold Jäger +3 more
wiley +1 more source
Constructive Combinatorics in Elementary School Mathematics [PDF]
, 2023 M. A. Posicelskaya
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International Journal of Mathematical Combinatorics, vol. 2 / 2018
, 2018 The International J.Mathematical Combinatorics (ISSN 1937-1055) is a fully refereed international journal, sponsored by the MADIS of Chinese Academy of Sciences and published in USA quarterly comprising 110-160 pages approx. per volume, which publishes original research papers and survey articles in all aspects of Smarandache multi-spaces, Smarandache ...
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Weighted Turán Theorems With Applications to Ramsey‐Turán Type of Problems
Journal of Graph Theory, Volume 110, Issue 1, Page 59-71, September 2025.ABSTRACT We study extensions of Turán Theorem in edge‐weighted settings. A particular case of interest is when constraints on the weight of an edge come from the order of the largest clique containing it. These problems are motivated by Ramsey‐Turán type problems.
József Balogh +2 more
wiley +1 more source
A Themed Issue on Mathematical Inequalities, Analytic Combinatorics and Related Topics in Honor of Professor Feng Qi [PDF]
, 2023 openalex +1 more source
Mathematical Methods in the Applied Sciences, Volume 48, Issue 13, Page 12654-12674, September 2025.ABSTRACT We have studied possible applications of a particular pseudodifferential algebra in singular analysis for the construction of fundamental solutions and Green's functions of a certain class of elliptic partial differential operators. The pseudodifferential algebra considered in the present work, comprises degenerate partial differential ...
Heinz‐Jürgen Flad +1 more
wiley +1 more source
Construction of Bernstein‐Based Words and Their Patterns
Mathematical Methods in the Applied Sciences, Volume 48, Issue 13, Page 12819-12836, September 2025.ABSTRACT In this paper, with inspiration of the definition of Bernstein basis functions and their recurrence relation, we give construction of a new word family that we refer Bernstein‐based words. By classifying these special words as the first and second kinds, we investigate their some fundamental properties involving periodicity and symmetricity ...
Irem Kucukoglu, Yilmaz Simsek
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Toward a Solution of Archdeacon's Conjecture on Integer Heffter Arrays
Journal of Combinatorial Designs, Volume 33, Issue 8, Page 310-323, August 2025.ABSTRACT In this article, we make significant progress on a conjecture proposed by Dan Archdeacon on the existence of integer Heffter arrays H ( m , n ; s , k ) whenever the necessary conditions hold, that is, 3 ⩽ s ⩽ n, 3 ⩽ k ⩽ m, m s = n k and n k ≡ 0 , 3 ( mod 4 ).
Marco Antonio Pellegrini +1 more
wiley +1 more source
Enumerative combinatorics of Young tableaux, pure and applied mathematics vol. 115. S. S. Abhyankar, Marcel Dekker, New York, 1988. No. of pages: 536. Price: $99.75 (U.S. & Canada) $119.75 (elsewhere) ISBN 0‐8247‐7816‐2 [PDF]
, 1988 Roger Cook
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Mathematical Combinatorics & Smarandache Multi-Spaces (New Expanded Edition) [PDF]
, 2013 This book is for young students, words of one mathematician, also being a physicist and an engineer to young students. By recalling each of his growth and success steps, i.e., beginning as a construction worker, obtained a certification of undergraduate learn by himself and a doctor’s degree in university, after then continuously overlooking these ...
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