TY - GEN
T1 - Fast Consensus Topology Design via Minimizing Laplacian Energy
AU - Lu, Susie
AU - Liu, Ji
N1 - Publisher Copyright:
© 2024 IEEE.
PY - 2024
Y1 - 2024
N2 - This paper characterizes the graphical properties of an optimal topology with minimal Laplacian energy under the constraint of fixed numbers of vertices and edges, and devises an algorithm to construct such connected optimal graphs. These constructed graphs possess maximum vertex and edge connectivity, and more importantly, generically exhibit large algebraic connectivity of an optimal order provided they are not sparse. These properties guarantee fast and resilient consensus processes over these graphs.
AB - This paper characterizes the graphical properties of an optimal topology with minimal Laplacian energy under the constraint of fixed numbers of vertices and edges, and devises an algorithm to construct such connected optimal graphs. These constructed graphs possess maximum vertex and edge connectivity, and more importantly, generically exhibit large algebraic connectivity of an optimal order provided they are not sparse. These properties guarantee fast and resilient consensus processes over these graphs.
UR - https://www.scopus.com/pages/publications/86000542891
U2 - 10.1109/CDC56724.2024.10886679
DO - 10.1109/CDC56724.2024.10886679
M3 - Conference contribution
AN - SCOPUS:86000542891
T3 - Proceedings of the IEEE Conference on Decision and Control
SP - 6187
EP - 6192
BT - 2024 IEEE 63rd Conference on Decision and Control, CDC 2024
PB - Institute of Electrical and Electronics Engineers Inc.
T2 - 63rd IEEE Conference on Decision and Control, CDC 2024
Y2 - 16 December 2024 through 19 December 2024
ER -