Presentation 2015-10-15
Relationship between Indices of Network Structure and Spectral Distribution of Graphs
Ryosuke Sawada, Yusuke Sakumoto, Chisa Takano, Masaki Aida,
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Abstract(in Japanese) (See Japanese page)
Abstract(in English) Laplacian matrix, which is given by node degrees and adjacency relationships between nodes in a graph, is useful to analyze graph structure of social networks. Existing studies of Laplacian matrix clarified that the degree distribution of a graph has a high similarity to the eigenvalue distribution of its Laplacian matrix.Since degree distribution only contains information of node degrees, they did not clarity how the information of adjacency relationships affects the eigenvalues of Laplacian matrix. This report experimentally investigates the effect of popular measurements (i.e., coefficient and average distances between nodes), which are high related to the information of adjacency relationships, on eigenvalue distribution of the Laplacian matrix.
Keyword(in Japanese) (See Japanese page)
Keyword(in English) social network / spectral graph theory / Laplacian matrix / network measure
Paper # NS2015-89
Date of Issue 2015-10-08 (NS)

Conference Information
Committee NS
Conference Date 2015/10/15(2days)
Place (in Japanese) (See Japanese page)
Place (in English) Akita Univ.
Topics (in Japanese) (See Japanese page)
Topics (in English)
Chair Atsushi Hiramatsu(NTT-AT)
Vice Chair Hideki Tode(Osaka Pref. Univ.)
Secretary Hideki Tode(Univ. of Fukui)
Assistant Shohei Kamamura(NTT)

Paper Information
Registration To Technical Committee on Network Systems
Language JPN
Title (in Japanese) (See Japanese page)
Sub Title (in Japanese) (See Japanese page)
Title (in English) Relationship between Indices of Network Structure and Spectral Distribution of Graphs
Sub Title (in English)
Keyword(1) social network
Keyword(2) spectral graph theory
Keyword(3) Laplacian matrix
Keyword(4) network measure
1st Author's Name Ryosuke Sawada
1st Author's Affiliation Tokyo Metropolitan University(Tokyo Metropolitan Univ.)
2nd Author's Name Yusuke Sakumoto
2nd Author's Affiliation Tokyo Metropolitan University(Tokyo Metropolitan Univ.)
3rd Author's Name Chisa Takano
3rd Author's Affiliation Hiroshima City University(Hiroshima City Univ.)
4th Author's Name Masaki Aida
4th Author's Affiliation Tokyo Metropolitan University(Tokyo Metropolitan Univ.)
Date 2015-10-15
Paper # NS2015-89
Volume (vol) vol.115
Number (no) NS-251
Page pp.pp.13-18(NS),
#Pages 6
Date of Issue 2015-10-08 (NS)