On a conjecture of Morgan Ward, II
K. Kubota (1977)
Acta Arithmetica
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K. Kubota (1977)
Acta Arithmetica
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András Biró (2003)
Acta Arithmetica
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G. Besson (2009)
Bollettino dell'Unione Matematica Italiana
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Paule, Peter (1996)
Experimental Mathematics
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Fuzhen Zhang (2016)
Special Matrices
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We review and update on a few conjectures concerning matrix permanent that are easily stated, understood, and accessible to general math audience. They are: Soules permanent-on-top conjecture†, Lieb permanent dominance conjecture, Bapat and Sunder conjecture† on Hadamard product and diagonal entries, Chollet conjecture on Hadamard product, Marcus conjecture on permanent of permanents, and several other conjectures. Some of these conjectures are recently settled; some are still open.We...
Torossian, Charles (2002)
Journal of Lie Theory
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K. Inkeri (1976)
Acta Arithmetica
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C. Greither, Radan Kučera (2008)
Acta Arithmetica
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W. Narkiewicz (1977)
Colloquium Mathematicae
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Sebastian Hebda (2013)
Colloquium Mathematicae
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We propose two conjectures which imply the Collatz conjecture. We give a numerical evidence for the second conjecture.
P. D. T. A. Elliott (1976)
Colloquium Mathematicae
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András Biró (2003)
Acta Arithmetica
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R. Dacić (1971)
Matematički Vesnik
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G. Grekos, L. Haddad, C. Helou, J. Pihko (2005)
Acta Arithmetica
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Shanta Laishram, T. N. Shorey (2012)
Acta Arithmetica
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Michael D. Plummer, Michael Stiebitz, Bjarne Toft (2003)
Discussiones Mathematicae Graph Theory
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Hadwiger's Conjecture seems difficult to attack, even in the very special case of graphs G of independence number α(G) = 2. We present some results in this special case.
Xiao-Guang Qi, Lian-Zhong Yang (2011)
Annales Polonici Mathematici
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We give some growth properties for solutions of linear complex differential equations which are closely related to the Brück Conjecture. We also prove that the Brück Conjecture holds when certain proximity functions are relatively small.