Small World Networks in Education Sciences

Arcos-Argudo, Miguel; Pesántez-Avilés, Fernando; Peñaloza-Rivera, Diego

doi:10.1007/978-3-319-93882-0_7

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2022

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“…Networks with a small-world topology are distinguished by the characteristics of their connections, allowing two nodes, distant from each other, to be linked by a shorter path. Arcos-Argudo [2] studied a small-world network in the area of education sciences in particular in the integration of teaching cloisters in the world system of higher education. Such an education network plays a central role within a multi-processor systems, and many efforts have been made to investigate various fault tolerance properties of these network structures; see [3].…”

Section: Introductionmentioning

confidence: 99%

Extra Edge Connectivity and Extremal Problems in Education Networks

2022

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Extra edge connectivity and diagnosability have been employed to investigate the fault tolerance properties of network structures. The p-extra edge connectivity λp(Γ) of a graph Γ was introduced by Fàbrega and Fiol in 1996. In this paper, we find the exact values of p-extra edge connectivity of some special graphs. Moreover, we give some upper and lower bounds for λp(Γ), and graphs with λp(Γ)=1,2,n2n2−1,n2n2 are characterized. Finally, we obtain the three extremal results for the p-extra edge connectivity.

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Section: Introductionmentioning

confidence: 99%