Polynomial-time partition of a graph into cliques.
Plotnikov, Anatoly D. (1996)
Southwest Journal of Pure and Applied Mathematics [electronic only]
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Plotnikov, Anatoly D. (1996)
Southwest Journal of Pure and Applied Mathematics [electronic only]
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Jakimczuk, Rafael (2004)
International Journal of Mathematics and Mathematical Sciences
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Michel Las Vergnas (1999)
Annales de l'institut Fourier
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We study the basic algebraic properties of a 3-variable Tutte polynomial the author has associated with a morphism of matroids, more precisely with a matroid strong map, or matroid perspective in the present paper, or, equivalently by the Factorization Theorem, with a matroid together with a distinguished subset of elements. Most algebraic properties of the usual 2-variable Tutte polynomial of a matroid generalize to the 3-variable polynomial. Among specific properties we show that the...
Dohmen, Klaus, Poenitz, André, Tittmann, Peter (2003)
Discrete Mathematics and Theoretical Computer Science. DMTCS [electronic only]
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Umberto Zannier (2007)
Acta Arithmetica
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R. Ger (1971)
Annales Polonici Mathematici
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Jason Lucier (2006)
Acta Arithmetica
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Luís R. A. Finotti (2009)
Acta Arithmetica
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J. Siciak (1971)
Annales Polonici Mathematici
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Norbert Hegyvári, François Hennecart (2009)
Acta Arithmetica
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V. L. Deshpande, V. M. Bhise (1970)
Matematički Vesnik
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Hong Bing Yu (2001)
Acta Arithmetica
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Fedor Petrov (2014)
Acta Arithmetica
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Applying techniques similar to Combinatorial Nullstellensatz we prove a lower estimate of |f(A,B)| for finite subsets A, B of a field, and a polynomial f(x,y) of the form f(x,y) = g(x) + yh(x), where the degree of g is greater than that of h.
A. Schinzel (2008)
Acta Arithmetica
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Umberto Zannier (2009)
Acta Arithmetica
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