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    On the Topological Disparity Characterization of Square-Pixel Binary Image Data by a Labeled Bipartite Graph 

    Sánchez Cuevas, Pablo; Real Jurado, Pedro; Díaz del Río, Fernando; Molina Abril, Helena; Morón Fernández, María José (Springer, 2022)
    Given an nD digital image I based on cubical n-xel, to fully characterize the degree of internal topological dissimilarity ...
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    Building Hierarchical Tree Representations Using Homological-Based Tools 

    Díaz del Río, Fernando; Sánchez Cuevas, Pablo; Molina Abril, Helena; Real Jurado, Pedro; Morón Fernández, María José (Springer, 2021)
    A new algorithm for computing the α-tree hierarchical repre sentation of a grey-scale digital image is presented here. The ...
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    A Modelling Study on Tsunami Propagation in the Caspian Sea 

    Periáñez Rodríguez, Raúl; Cortés Parejo, María del Carmen (Springer, 2019)
    A numerical model that simulates the propagation of tsunamis produced by submarine earthquakes was applied to the Caspian ...
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    The dimension of a graph 

    Boza Prieto, Luis; Revuelta Marchena, María Pastora (Elsevier, 2007)
    For each graph G the dimension of G is defined as the smallest dimension in the Euclidean Space where there is an embedding ...
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    Tutte uniqueness of locally grid graphs 

    Garijo Royo, Delia; Márquez Pérez, Alberto; Revuelta Marchena, María Pastora (Departamento de Matemáticas CINVESTAV, 2004)
    A graph is said to be locally grid if the structure around each of its vertices is a 3 × 3 grid. As a follow up of the ...
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    Homomorphisms and polynomial invariants of graphs 

    Garijo Royo, Delia; Nesetril, Jaroslav; Revuelta Marchena, María Pastora (Elsevier, 2009)
    This paper initiates a general study of the connection between graph homomorphisms and the Tutte polynomial. This connection ...
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    On the Ramsey numbers for stars versus complete graphs 

    Boza Prieto, Luis; Cera López, Martín; García Vázquez, P.; Revuelta Marchena, María Pastora (Elsevier, 2010)
    For graphs G1, . . . , Gs, the multicolor Ramsey number R(G1, . . . , Gs) is the smallest integer r such that if we give ...
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    Zero-sum balanced binary sequences 

    Eliahou, Shalom; Marín Sánchez, Juan Manuel; Revuelta Marchena, María Pastora (University of West Georgia, 2007)
    F whic or h ev is ery p balanced, ositive in i.e., teger whose n ≡ 0 asso mod ciated 4, we Steinhaus construct ...
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    Weak Schur numbers and the search for G.W. Walker’s lost partitions 

    Eliahou, Shalom; Marín Sánchez, Juan Manuel; Revuelta Marchena, María Pastora; Sanz Domínguez, María Isabel (Elsevier, 2012)
    A set A of integers is weakly sum-free if it contains no three distinct elements x, y, z such that x + y = z. Given k ≥ ...
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    Modular Schur numbers 

    Chappelon, Jonathan; Revuelta Marchena, María Pastora; Sanz Domínguez, María Isabel (Electronic Journal of Combinatorics, 2013)
    For any positive integers l and m, a set of integers is said to be (weakly) l-sum free modulo m if it contains no (pairwise ...
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    On the n-Color Weak Rado Numbers for the Equation x1 + x2 + ··· + xk + c = xk +1 

    Adhikari, S. D.; Boza Prieto, Luis; Eliahou, Shalom; Marín Sánchez, Juan Manuel; Revuelta Marchena, María Pastora; Sanz Domínguez, María Isabel (American Mathematical Society, 2016)
    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 it exists ...
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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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    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 ...
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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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    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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    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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    On the n-Color Weak Rado Numbers for the Equation x1 + x2 + ··· + xk + c = xk +1 

    Boza Prieto, Luis; Marín Sánchez, Juan Manuel; Revuelta Marchena, María Pastora; Sanz Domínguez, María Isabel (Taylor and Francis, 2019)
    For integers k, n, c with k, n ≥ 1, and c ≥ 0, the n-color weak Rado number WRk (n, c) is defined as the least integer ...
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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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    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 ...
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    PURL: A new polynomial-time solvable class of satisfiability 

    Portillo Fernández, José Ramón; Rodrigues, J. I. (Universidad de Cádiz, 2007)
    In this work a new polynomial-time solvable class of satisfiability PURL ( PropUnit RemoveLiterals) is presented, based ...

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