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"Published in cooperation with NATO Emerging Security Challenges Division"--T.p.
Communicable diseases have been an important part of human history. Epidemics afflicted populations, causing many deaths before gradually fading away and emerging again years after. Epidemics of infectious diseases are occurring more often, and spreading faster and further than ever, in many different regions of the world. The scientific community, in addition to its accelerated efforts to develop an effective treatment and vaccination, is also playing an important role in advising policymakers on possible non-pharmacological approaches to limit the catastrophic impact of epidemics using mathematical and machine learning models. Controlling Epidemics With Mathematical and Machine Learning Mo...
Some of the most beautiful studies in Mathematics are related to Symmetry and Geometry. For this reason, we select here some contributions about such aspects and Discrete Geometry. As we know, Symmetry in a system means invariance of its elements under conditions of transformations. When we consider network structures, symmetry means invariance of adjacency of nodes under the permutations of node set. The graph isomorphism is an equivalence relation on the set of graphs. Therefore, it partitions the class of all graphs into equivalence classes. The underlying idea of isomorphism is that some objects have the same structure if we omit the individual character of their components. A set of graphs isomorphic to each other is denominated as an isomorphism class of graphs. The automorphism of a graph will be an isomorphism from G onto itself. The family of all automorphisms of a graph G is a permutation group.
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According to Wilson et al. (2017), festivals are events held at a particular point in time, repeated in a regular manner and open to the public. Festivals differ from special events as they occur on a regular basis, whereas ‘a special event is a onetime or infrequently occurring event outside the normal range/program or activities of the sponsoring or organising body’ (Getz 1997). Although festival types and themes may differ, they have some characteristics in common. For instance, regardless of the theme of a festival, all of themhave similar stakeholders, i.e. organisations, audiences, exhibitors, sponsors (financiers), media, etc. Despite growing research interest in festivals, little...
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