• Graphs with isolation number equal to one third of the order 

  Lemańska, Magdalena; Mora, Mercè; Souto Salorio, María José (Elsevier B.V., 2024-05)

  [Absctract]: A set D of vertices of a graph G is isolating if the set of vertices not in D and with no neighbor in D is independent. The isolation number of G, denoted by ι(G), is the minimum cardinality of an isolating ...

• The Auslander-Reiten quiver of the category of m−periodic complexes 

  Chaio, Claudia; González Chaio, Alfredo; Pratti, Isabel; Souto Salorio, María José (Elsevier, 2024-05)

  [Abstract]: Let A be an additive k−category and C≡m(A) be the category of m−periodic complexes. For any integer m > 1, we study conditions under which the compression b functor Fm : C (A) → C≡m(A) preserves or reflects ...

• On the Degree in Categories of Complexes of Fixed Size 

  Chaio, Claudia; Pratti, Isabel; Souto Salorio, María José (Springer, 2019-02-01)

  [Abstract]: We consider Λ an artin algebra and n ≥ 2. We study how to compute the left and right degrees of irreducible morphisms between complexes in a generalized standard Auslander-Reiten component of Cn(proj Λ) with ...

• Classification of the relative positions between a small ellipsoid and an elliptic paraboloid 

  Brozos-Vázquez, Miguel; Pereira Sáez, María José; Souto Salorio, María José; Tarrío-Tobar, Ana D. (Elsevier, 2019-06)

  [Abstract]: We classify all the relative positions between an ellipsoid and an elliptic paraboloid when the ellipsoid is small in comparison with the paraboloid (small meaning that the two surfaces cannot be tangent at two ...

• Homotopic distance and generalized motion planning 

  Macías-Virgós, Enrique; Mosquera-Lois, David; Pereira Sáez, María José (Springer, 2022-10-18)

  [Abstract]: We prove that the homotopic distance between two maps defined on a manifold is bounded above by the sum of their subspace distances on the critical submanifolds of any Morse–Bott function. This generalizes the ...

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