Classical and quantum random-walk centrality measures in multilayer networks

L Böttcher, MA Porter - SIAM Journal on Applied Mathematics, 2021 - SIAM
Multilayer network analysis is a useful approach for studying networks of entities that interact
with each other via multiple relationships. Classifying the importance of nodes and node …

Kernels on graphs as proximity measures

K Avrachenkov, P Chebotarev, D Rubanov - Algorithms and Models for the …, 2017 - Springer
Kernels and, broadly speaking, similarity measures on graphs are extensively used in graph-
based unsupervised and semi-supervised learning algorithms as well as in the link …

[HTML][HTML] Similarities on graphs: Kernels versus proximity measures

K Avrachenkov, P Chebotarev, D Rubanov - European Journal of …, 2019 - Elsevier
We analytically study proximity and distance properties of various kernels and similarity
measures on graphs. This helps to understand the mathematical nature of such measures …

[HTML][HTML] Moore–Penrose inverse of the incidence matrix of a distance regular graph

A Azimi, RB Bapat - Linear Algebra and its Applications, 2018 - Elsevier
Moore–Penrose inverse of the incidence matrix of a distance regular graph - ScienceDirect
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Relating Eulerian and Lagrangian spatial models for vector-host disease dynamics through a fundamental matrix

E Vargas Bernal, O Saucedo, JH Tien - Journal of Mathematical Biology, 2022 - Springer
We explore the relationship between Eulerian and Lagrangian approaches for modeling
movement in vector-borne diseases for discrete space. In the Eulerian approach we account …

Graphs with absorption: numerical methods for the absorption inverse and the computation of centrality measures

M Benzi, P Fika, M Mitrouli - Linear Algebra and its Applications, 2019 - Elsevier
The absorption inverse, studied in Jacobsen and Tien (2018)[13], is a generalized inverse
specifically introduced for the analysis of graphs with absorption. In this paper we consider …

Host movement, transmission hot spots, and vector-borne disease dynamics on spatial networks

O Saucedo, JH Tien - Infectious Disease Modelling, 2022 - Elsevier
We examine how spatial heterogeneity combines with mobility network structure to influence
vector-borne disease dynamics. Specifically, we consider a Ross-Macdonald-type disease …

[HTML][HTML] The Moore–Penrose inverse of the incidence matrix of complete multipartite and bi-block graphs

A Azimi, RB Bapat - Discrete Mathematics, 2019 - Elsevier
The Moore–Penrose inverse of the incidence matrix of complete multipartite and bi-block graphs -
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Performance and stability of direct methods for computing generalized inverses of the graph Laplacian

M Benzi, P Fika, M Mitrouli - Electronic Transactions on …, 2020 - etna.ricam.oeaw.ac.at
We consider the computation of generalized inverses of the graph Laplacian for both
undirected and directed graphs, with a focus on the group inverse and the closely related …

Dissecting graph measure performance for node clustering in LFR parameter space

V Ivashkin, P Chebotarev - Complex Networks & Their Applications X …, 2022 - Springer
Graph measures that express closeness or distance between nodes can be employed for
graph nodes clustering using metric clustering algorithms. There are numerous measures …