Presentation 2023-12-21
[Short Paper] A Study on the Importance of Spectral Representation of Subgraphs with Different Sampling Strategies
Koki Kato, Ryo Nakamura,
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Abstract(in Japanese) (See Japanese page)
Abstract(in English) Spectral graph theory has been actively studied to analyze topological property of networks using eigenvalues and eigenvectors of matrices representing their structures, e.g., adjacency matrix and Laplacian matrix.In this paper, we focus on spectral path, which has been recently proposed in the area of spectral graph theory, and devise further possibilities of the spectral path. The spectral path is defined as a trajectory connecting low-order spectral moments, i.e., second-, third-, and fourth moments, of subgraphs with different sizes. Through experiments, we investigate how the shape of the spectral path changes in accordance with sampling strategies used to obtain subgraphs. As a consequence, we reveal the importance of spectral paths with different sampling strategies; more specifically, combining these spectral paths can grasp topological property of networks that the spectral path with the random node sampling fails to do.
Keyword(in Japanese) (See Japanese page)
Keyword(in English) Spectral Graph Theory / Network Representation / Graph Sampling
Paper # IA2023-43
Date of Issue 2023-12-14 (IA)

Conference Information
Committee IN / IA
Conference Date 2023/12/21(2days)
Place (in Japanese) (See Japanese page)
Place (in English) Satellite Campus Hiroshima
Topics (in Japanese) (See Japanese page)
Topics (in English) Performance Analysis and Simulation, Robustness, Traffic and Throughput Measurement, Quality of Service (QoS) Control, Congestion Control, Overlay Network/P2P, CCN, ICN, Multicast, Routing, Security, etc.
Chair Kunio Hato(NTT) / Toyokazu Akiyama(Kyoto Sangyo Univ.)
Vice Chair Tsutomu Murase(Nagoya Univ.) / Yusuke Sakumoto(Kwansei Gakuin Univ.) / Toshiki Watanabe(NEC) / Yuichiro Hei(KDDI)
Secretary Tsutomu Murase(NTT) / Yusuke Sakumoto(NTT) / Toshiki Watanabe(KDDI Research) / Yuichiro Hei(Fukuoka Univ.)
Assistant / Daisuke Kotani(Kyoto Univ.) / Ryo Nakamura(Fukuoka Univ.) / Ryo Nakamura(Univ. of Tokyo)

Paper Information
Registration To Technical Committee on Information Networks / Technical Committee on Internet Architecture
Language JPN
Title (in Japanese) (See Japanese page)
Sub Title (in Japanese) (See Japanese page)
Title (in English) [Short Paper] A Study on the Importance of Spectral Representation of Subgraphs with Different Sampling Strategies
Sub Title (in English)
Keyword(1) Spectral Graph Theory
Keyword(2) Network Representation
Keyword(3) Graph Sampling
1st Author's Name Koki Kato
1st Author's Affiliation Fukuoka University(Fukuoka Univ.)
2nd Author's Name Ryo Nakamura
2nd Author's Affiliation Fukuoka University(Fukuoka Univ.)
Date 2023-12-21
Paper # IA2023-43
Volume (vol) vol.123
Number (no) IA-318
Page pp.pp.1-4(IA),
#Pages 4
Date of Issue 2023-12-14 (IA)