2024-01-302024-01-302015Cera López, M., y Fedriani, E.M. (2015). Theoretical progress on infinite graphs and their average degree: applicability to the European Road Transport Network. En Second International Conference on Mathematics and Computers in Sciences and in Industry (MCSI) (pp. 85-91). Washington: IEEE Computer Society.978-1-4799-8673-6https://hdl.handle.net/11441/154238There are many problems in Graph Theory for finite graphs relating the number of vertices and the number of edges and, therefore, related to the average degree for finite graphs. However, when dealing with real-life problems involving networks, it is often useful to model the situation by using infinite graphs, which can represent extendable systems. In this paper, we will generalize the concept of average degree for infinite graphs in a family of graphs that we call average-measurable. Besides, this new definition allows the generalization of the universal formulae for evaluation of percolation thresholdsapplication/pdf7engAttribution-NonCommercial-NoDerivatives 4.0 Internacionalhttp://creativecommons.org/licenses/by-nc-nd/4.0/Infinite graphaverage degreecomplete graphroad transport networkpercolationTheoretical progress on infinite graphs and their average degree: applicability to the European Road Transport Networkinfo:eu-repo/semantics/bookPartinfo:eu-repo/semantics/openAccess10.1109/MCSI.2015.56