Bulletin of the American Physical Society
APS March Meeting 2023
Volume 68, Number 3
Las Vegas, Nevada (March 5-10)
Virtual (March 20-22); Time Zone: Pacific Time
Session A02: Network Theory and Applications to Complex Systems
8:00 AM–11:00 AM,
Monday, March 6, 2023
Room: Room 125
Sponsoring
Unit:
GSNP
Chair: Guido Caldarelli, University of Venice Ca'Foscari
Abstract: A02.00007 : Node-layer duality in multilayer networks*
9:36 AM–9:48 AM
Presenter:
Charley Presigny
(Sorbonne University)
Authors:
Charley Presigny
(Sorbonne University)
Fabrizio De Vico Fallani
(INRIA)
It has been shown that MNs are invariant by describing layers as nodes and vice versa. We call node-layer duality the concept that the interacting entities are either nodes or layers depending on the description we adopt. Node-layer duality allows to study consistently the same system with two dual descriptions, one of which being systematically overlooked in MNs topological study.
To evaluate the potential of this framework, we propose two normalized Euclidean distances between MNs, based on the multidegree of the related interacting entities for each description. To systematically investigate distances, we derive analytically a multilevel stochastic rewiring algorithm. Main results show that a given description distinguishes better topologically different MNs depending on their organizational differences. Also, only the dual analysis is able to capture every such differences.
Our approach can provide a multilevel comparative analysis between normal and abnormal states (brain networks) as well as a better characterization of MN in any topological studies.
*European Research Council Grant Agreement No. 864729
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