Choosing a leader on a complex network

Criado, Regino; Flores, Julio; González-Vasco, M. I.; Pello, Javier

doi:10.1016/j.cam.2006.04.024

Cited by 19 publications

(7 citation statements)

References 8 publications

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“…In these networks nodes represent the different elements of the system and edges stand for the interactions or relationships between them [1]. In network analysis, a key point is to devise measures suitable for quantifying the strategic importance of a node, an edge, a set of nodes, or a set of edges, with the goal of identifying the optimal functioning of the system represented by the network [2][3][4][5]. Topological measures, such as different versions of vulnerability, efficiency, centrality, and clustering, can be used to quantify, compare, and rank different configurations for a specific system [2,[6][7][8][9][10][11][12][13].…”

Section: Introductionmentioning

confidence: 99%

Network analysis: An indispensable tool for curricula design. A real case-study of the degree on mathematics at the URJC in Spain

Blas

González

Herrero³

2021

PLoS ONE

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Content addition to courses and its subsequent correct sequencing in a study plan or curricula design context determine the success (and, in some cases, the failure) of such study plan in the acquisition of knowledge by students. In this work, we propose a decision model to guide curricular design committees in the tasks of course selection and sequencing in higher education contexts using a novel methodology based on network analysis. In this work, the local and global properties stemming from complex network analysis tools are studied in detail to facilitate the design of the study plan and to ensure its coherence by detecting the communities within a graph, and the local and global centrality of the courses and their dependencies are analyzed, as well as the overlapping subgroups and the functions and different positions among them. The proposed methodology is applied to the study of a real case at the Universidad Rey Juan Carlos.

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Section: Introductionmentioning

confidence: 99%

Network analysis: An indispensable tool for curricula design. A real case-study of the degree on mathematics at the URJC in Spain

Blas

González

Herrero³

2021

PLoS ONE

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“…Another type of problems that can be solved by using the techniques introduced in the previous section deal with leadership of nodes. The leadership in complex networks has been studied in the Complex Networks Analysis from very different points of view, including (among others) the use of efficiency and robustness perspective in networks related with cryptography (see [4]) and Personalized PageRank in social networks (see [12]). Roughly speaking a node i is a leader (for the personalized PageRank-based ranking) if its personalized PageRank is maximal among all the nodes of the network for some personalization vector.…”

Section: Some Applicationsmentioning

confidence: 99%

On the localization of the personalized PageRank of complex networks

Garcı́a

Pedroche

Romance

2013

Linear Algebra and its Applications

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In this paper new results on personalized PageRank are shown. We consider directed graphs that may contain dangling nodes. The main result presented gives an analytical characterization of all the possible values of the personalized PageRank for any node.We use this result to give a theoretical justification of a recent model that uses the personalized PageRank to classify users of Social Networks Sites. We introduce new concepts concerning competitivity and leadership in complex networks. We also present some theoretical techniques to locate leaders and competitors which are valid for any personalization vector and by using only information related to the adjacency matrix of the graph and the distribution of its dangling nodes.

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“…The overwhelming popularity of using complex networks in different fields to model the interactions between components of a variety of complex systems is well known [2,5,7,8,20,23,32,44,53,62]. Complex networks have become an indispensable tool for modeling the interactions between components of a complex system in areas as diverse as biology, engineering or social human organization.…”

Section: Introductionmentioning

confidence: 99%

Using complex networks to identify patterns in specialty mathematical language: a new approach

Criado-Alonso

Moro

Aleja

et al. 2020

Soc. Netw. Anal. Min.

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The special words and combinations of two words (so-called collocations) that are specific references within a specialty language collectively constitute the terminology of that specialty language and characterize that language. In this paper, we analyze the specialty mathematical language produced by the scientific community of complex networks from the perspective of the theory and tools of complex networks to extract new properties and characteristics of this language. For this purpose, a linguistic corpus of 86 extended abstracts of papers (all of them based on the theory and applications of complex networks) has been used. To analyze the collocations that are part of the language terminology, a multilayer network and the line graph structure have been considered. The obtained results of our computational study show that the structure of collocations in this mathematical specialty language text corpus referred to complex networks is much more sensitive to variations in the intensity of their appearance in specialized texts than the structure of the words isolated from the specialty text itself, pointing to an intrinsic feature in the linguistic structure of this type of texts. This model can be a very useful tool for translators who work with specialized texts in the area of knowledge corresponding to the corpus studied, a particularly difficult task if the translator is not a specialist in this field.

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Choosing a leader on a complex network

Cited by 19 publications

References 8 publications

Network analysis: An indispensable tool for curricula design. A real case-study of the degree on mathematics at the URJC in Spain

Network analysis: An indispensable tool for curricula design. A real case-study of the degree on mathematics at the URJC in Spain

On the localization of the personalized PageRank of complex networks

Using complex networks to identify patterns in specialty mathematical language: a new approach

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