Author Archives: Margarita Mayoral Villa

Leonhard Euler and the seven bridges of Konigsberg: The beginning of Graph Theory


Today is the 306th birthday of Leonhard Euler, a great mathematician who developed different insights not only in mathematics, but also in Physics disciplines like mechanics, optics and astronomy. He developed a lot of work in mathematics among which he stated the bases of Graph Theory and Topology. It was solving a problem related withContinueContinue reading “Leonhard Euler and the seven bridges of Konigsberg: The beginning of Graph Theory”

Network Structure


The importance of the networks is being extended to the technological and economic systems, which are becoming in real complex networks. This complexity and the instability of the behaviour of these systems put them in a high risk of turning localized breakdowns that evolve into cascading failures and or financial crisis. A network analysis ofContinueContinue reading “Network Structure”

The information as a network structure


How the information is diffused in the actuality is a very important deal in which many companies have been focused in the last years. The importance of the spread of the information in the digital world may be seeing as a course in which the winners are the people that have more tools to spreadContinueContinue reading “The information as a network structure”

Networks


  Networks Today is a time of connectedness. Modern society is facing a great spectrum of forms to express their ideas and connect with people into the whole world. This connectedness may develop different sources of information. In fact, the connectedness is a source of information. From all the social networks that in this momentContinueContinue reading “Networks”

SES’s Sustainability


As it was mentioned, both social systems and ecological systems are considered as complex system due its emergency and the interaction among their agents. But also the system composed from the imperative relation among them is indeed a complex system. More precisely a Complex Adaptive System. Actually, this relation has a great importance due to the increasingContinueContinue reading “SES’s Sustainability”

Complex Adaptive Systems (CAS)


CAS may be viewed as systems composed of interacting agents which behaviour is described in terms of rules. Each of these agents that form part of the system has its own behaviour that adapt by changing their rules as experience accumulates. The problem is that considering this adaptability in each part of the system, theContinueContinue reading “Complex Adaptive Systems (CAS)”

The social-ecological relationship from a network perspective


Like the social problems, the ecological ones are considered to be complex because their emergency. Both of them have been studied from a complex system perspective introducing methods of statistical physics and has been considered like Complex Adaptive Systems (CAS) (1). Now, the relation between them has more importance due to the increasing threaten fromContinueContinue reading “The social-ecological relationship from a network perspective”

Statistical Physics, complex systems and social problems


The concepts of Statistical Physics have been applied in several ways to the study of the economic and social problems. This has generated divers approximations and models that may be applied under different circumstances and with different objectives. One of them is the study of the social hierarchies considered in the Bonabeau model. The emergent collective behaviourContinueContinue reading “Statistical Physics, complex systems and social problems”

Econophysics and Sociophysics origins


Ludwig Boltzmann: “The molecules are like individuals, … and the properties of gases only remain unaltered, because the number of htese molecules, which on the average have a given state, is constant,” “This opens a broad perspective, if we do not only think of mechanical objects. Let’s consider to apply this method to the statisticsContinueContinue reading “Econophysics and Sociophysics origins”