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math.CO2024
Spider networks
Leo Egghe, Li Li, Ronald Rousseau
In this investigation we study a family of networks, called spiders, which covers a range of networks going from chains to complete graphs. These spiders are characterized by three…
math.CO2024
Majorization and the degree sequence of trees
Leo Egghe, Ronald Rousseau
We investigate the relation between degree sequences of trees and the majorization order using the Muirhead theorem. In this way, we prove a theorem that provides a necessary and s…
cs.SI2024★ 1 cited
The small-world phenomenon: a model, explanations, characterizations and examples
Leo Egghe, Ronald Rousseau
We introduce and define three types of small worlds: small worlds based on the diameter of the network (SWD), those based on the average geodesic distance between nodes (SWA), and…