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Browsing by Author "Boza Prieto, Luis"          

Now showing items 1-20 of 28

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      3-color Schur numbers 

      Boza Prieto, Luis; Marín Sánchez, Juan Manuel; Revuelta Marchena, María Pastora; Sanz Domínguez, María Isabel (Elsevier, 2019)
      Let k ≥ 3 be an integer, the Schur number Sk(3) is the least positive integer, such that for every 3-coloring of the ...
    • Article
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      A general lower bound on the weak Schur number 

      Boza Prieto, Luis; Revuelta Marchena, María Pastora; Sanz Domínguez, María Isabel (Elsevier, 2018)
      For integers k, n with k, n ≥ 1, the n-color weak Schur number W Sk(n) is defined as the least integer N, such that for ...
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      A historical review of the classifications of Lie algebras 

      Boza Prieto, Luis; Fedriani Martel, Eugenio Manuel; Núñez Valdés, Juan; Tenorio Villalón, Ángel Francisco (Unión Matemática Argentina, 2013)
      The problem of Lie algebras’ classification, in their different varieties, has been dealt with by theory researchers since ...
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      A link between menger’s theorem and infinite euler graphs 

      Boza Prieto, Luis; Diánez Martínez, Ana Rosa; Márquez Pérez, Alberto; Quintero Toscano, Antonio Rafael (Akadémiai Kiadó, 1997)
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      Consequences of some outerplanarity extensions 

      Boza Prieto, Luis; Fedriani Martel, Eugenio Manuel; Núñez Valdés, Juan (Rocky Mountain Mathematics Consortium, 2012)
      In this expository paper we revise some extensions of Kuratowski planarity criterion, providing a link between the embeddings ...
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      Directed pseudo-graphs and Lie algebras over finite fields 

      Boza Prieto, Luis; Fedriani Martel, Eugenio Manuel; Núñez Valdés, Juan; Pacheco Martínez, Ana María; Villar Liñán, María Trinidad (Institute of Mathematics, Czech Academy of Sciences, 2014-03)
      The main goal of this paper is to show an application of Graph Theory to classifying Lie algebras over finite fields. It ...
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      Equation-regular sets and the Fox–Kleitman conjecture 

      Adhikari, S. D.; Boza Prieto, Luis; Eliahou, Shalom; Revuelta Marchena, María Pastora; Sanz Domínguez, María Isabel (Elsevier, 2018)
      Given k ≥ 1, the Fox–Kleitman conjecture from 2006 states that there exists a nonzero integer b such that the 2k-variable ...
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      Exact value of 3 color weak Rado number 

      Revuelta Marchena, María Pastora; Boza Prieto, Luis; Marín Sánchez, Juan Manuel; Sanz Domínguez, María Isabel (Elsevier, 2016)
      For integers k, n, c with k, n ≥ 1 and c ≥ 0, the n color weak Rado number W Rk(n, c) is defined as the least integer N, ...
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      Infinite graph embeddings on tubular surfaces 

      Boza Prieto, Luis; Fedriani Martel, Eugenio Manuel; Márquez Pérez, Alberto; Núñez Valdés, Juan; Revuelta Marchena, María Pastora (2001)
    • Presentation
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      Inmersiones celulares no caracterizables por menores 

      Boza Prieto, Luis; Dávila de Tena, María Teresa; Moyano Franco, Rafael (Alberto Márquez, 2002)
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      Inmersiones condicionadas de grafos en superficies y seudosuperficies 

      Fedriani Martel, Eugenio Manuel; Boza Prieto, Luis (1999)
      En este traba jo se procede a recapitular resultados conocidos sobre el problema de caracterizar los grafos que admiten ...
    • PhD Thesis
    • PhD Thesis
    • PhD Thesis
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      Inmersiones de grafos en superficies tubulares de género finito 

      Revuelta Marchena, María Pastora (1999-02-12)
      El matemático alemán Euler (1707-1782) resolvió en 1736 el famoso problema de los puentes de Königsberg. Dicha ciudad ...
    • PhD Thesis
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      Inmersiones de grafos en superficies y seudosuperficies con todos los vértices en una misma cara 

      Fedriani Martel, Eugenio Manuel (2001)
      La memoria se enmarca en la "Teoría de Inmersiones de Grafos en Superficies", presentando y resolviendo varios e interesantes ...
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      Miscellaneous properties of embeddings of line, total and middle graphs 

      Boza Prieto, Luis; Dávila de Tena, María Teresa; Márquez Pérez, Alberto; Moyano Franco, Rafael (2001)
      Chartrand et al. (J. Combin. Theory Ser. B 10 (1971) 12–41) proved that the line graph of a graph G is outerplanar if and ...
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      Numerical semigroups of Szemerédi type 

      Adhikari, S. D.; Boza Prieto, Luis; Eliahou, Shalom; Revuelta Marchena, María Pastora; Sanz Domínguez, María Isabel (Elsevier, 2019)
      Given any length k ≥ 3 and density 0 < δ ≤ 1, we introduce and study the set Sz(k, δ) consisting of all positive integers ...
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      On infinite outerplanar graphs 

      Boza Prieto, Luis; Diánez Martínez, Ana Rosa; Márquez Pérez, Alberto (Institute of Mathematics of the Czech Academy of Sciences, 1994)
      In this Note, we study infinite graphs with locally finite outerplane embeddings, given a characterization by forbidden subgraphs
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      On the degree of regularity of a certain quadratic Diophantine equation 

      Adhikari, S. D.; Boza Prieto, Luis; Eliahou, Shalom; Revuelta Marchena, María Pastora; Sanz Domínguez, María Isabel (Elsevier, 2018)
      We show that, for every positive integer r, there exists an integer b = b(r) such that the 4-variable quadratic Diophantine equation (x1 − y1)(x2 − y2) = b is r-regular. Our proof uses Szemerédi’s theorem on arithmetic progressions.
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      On the finiteness of some n-color Rado numbers 

      Adhikari, S. D.; Boza Prieto, Luis; Eliahou, Shalom; Marín Sánchez, Juan Manuel; Revuelta Marchena, María Pastora; Sanz Domínguez, María Isabel (Elsevier, 2017)
      For integers k, n, c with k, n ≥ 1, the n-color Rado number Rk(n, c) is defined to be the least integer N if any, or ...