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Browsing by Author "Moreno Casablanca, Rocío"
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Article
Average connectivity of minimally 2connected graphs and average edgeconnectivity of minimally 2edgeconnected graphs
Moreno Casablanca, Rocío; Mol, Lucas; Oellermann, Ortrud R. (Elsevier, 2021)Let G be a (multi)graph of order n and let u, v be vertices of G. The maximum number of internally disjoint u–v paths in ...

Article
Average distance in the strong product of graphs
Moreno Casablanca, Rocío; Favaron, Odile; Kouider, Mekkia (Utilitas Mathematica Publishing, 2014) 
Article
Characterizing slope regions
González Díaz, Rocío; Batavia, Darshan; Moreno Casablanca, Rocío; Kropatsch, Walter G. (Springer, 2021)This paper provides a theoretical characterization of monotonically connected image surface regions, called slope regions. ...

Presentation
Computing and reducing slope complexes
Kropatsch, Walter G.; Moreno Casablanca, Rocío; Batavia, Darshan; González Díaz, Rocío (Springer, 2019)In this paper we provide a new characterization of cell de composition (called slope complex) of a given 2dimensional ...

Presentation
Congratulations! Dual Graphs are Now Orientated!
Batavia, Darshan; Kropatsch, Walter G.; Moreno Casablanca, Rocío; González Díaz, Rocío (Springer, 2019)A digital image can be perceived as a 2.5D surface consisting of pixel coordinates and the intensity of pixel as height ...

Presentation
Counting slope regions in the surface graphs
Batavia, Darshan; Kropatsch, Walter G.; González Díaz, Rocío; Moreno Casablanca, Rocío (TUGraz OPEN Library, 2019)The discrete version of a continuous surface sampled at optimum sampling rate can be well expressed in form of a ...

Article
Distance and Eccentric sequences to bound the Wiener index, Hosoya polynomial and the average eccentricity in the strong products of graphs
Moreno Casablanca, Rocío; Dankelmann, Peter (Elsevier, 2019)This paper is concerned with the strong product of two graphs, and , and bounds on the Wiener index, Hosoya polynomial ...

Article
Gromov hyperbolicity in strong product graphs
Carballosa, Walter; Moreno Casablanca, Rocío; Cruz, Amauris de la; Rodríguez, José M. (EJC, 2013)If X is a geodesic metric space and x1; x2; x3 2 X, a geodesic triangle T = fx1; x2; x3g is the union of the three geodesics ...

Article
On average connectivity of the strong product of graphs
Abajo Casado, María Encarnación; Moreno Casablanca, Rocío; Diánez Martínez, Ana Rosa; García Vázquez, Pedro (Elsevier, 2013)The average connectivity κ(G) of a graph G is the average, over all pairs of vertices, of the maximum number of internally ...

Article
On Generalized 3Connectivity of the Strong Product of Graphs
Abajo Casado, María Encarnación; Moreno Casablanca, Rocío; Diánez Martínez, Ana Rosa; García Vázquez, Pedro (University of Belgrade, 2018)Let G be a connected graph with n vertices and let k be an integer such that 2 k n. The generalized connectivity ...

Presentation
On the Space Between Critical Points
Kropatsch, Walter G.; Moreno Casablanca, Rocío; Batavia, Darshan; González Díaz, Rocío (Springer, 2019)The vertices of the neighborhood graph of a digital picture P can be interpolated to form a 2manifold M with critical ...

Presentation
On the vulnerability of some families of graphs
Moreno Casablanca, Rocío; Diánez Martínez, Ana Rosa; García Vázquez, Pedro (Iniciativa Digital Politècnica, 2010)The toughness of a noncomplete graph G is defined as τ (G) = min{S/ω(G − S)}, where the minimum is taken over all ...

PhD Thesis
Reliability of networks modelled by graph products
Moreno Casablanca, Rocío (20140526)A general purpose in Graph Theory is to describe any graph structure and provide all the information about it as possible. ...

Article
Superconnectivity of Networks Modeled by the Strong Product of Graphs
Moreno Casablanca, Rocío; Cera López, Martín; García Vázquez, Pedro; Valenzuela Tripodoro, Juan Carlos (University of Belgrade, 2015)Maximal connectivity and superconnectivity in a network are two important features of its reliability. In this paper, ...

Article
The maximum average connectivity among all orientations of a graph
Moreno Casablanca, Rocío; Dankelmann, Peter; Goddard, Wayne; Mol, Lucas; Oellermann, Ortrud R. (Springer, 2021)For distinct vertices u and v in a graph G, the connectivity between u and v, denoted κG(u,v), is the maximum number of ...

Article
The Menger number of the strong product of graphs
Abajo Casado, María Encarnación; Moreno Casablanca, Rocío; Diánez Martínez, Ana Rosa; García Vázquez, Pedro (Elsevier, 2013)The xyMenger number with respect to a given integer ℓ, for every two vertices x, y in a connected graph G, denoted by ...

Article
Toughness of the corona of two graphs
Moreno Casablanca, Rocío; Diánez Martínez, Ana Rosa; García Vázquez, Pedro (Taylor and Francis, 2011)The toughness of a noncomplete graph G = (V , E) is defined as τ (G) = min{S/ω(G − S)}, where the minimum is taken ...