Text

A Theory for Backtrack-Downweighted Walks

We develop a complete theory for the combinatorics of walk-counting on a directed graph in the case where each backtracking step is downweighted by a given factor. By deriving expressions for the associated generating functions, we also obtain linear systems for computing centrality measures in this setting. In particular, we show that backtrack-downweighted Katz-style network centrality can be computed at the same cost as standard Katz. Studying the limit of this centrality measure at its radius of convergence also leads to a new expression for backtrack- downweighted eigenvector centrality that generalizes previous work to the case where directed edges are present. The new theory allows us to combine advantages of standard and nonbacktracking cases, avoiding localization while accounting for tree-like structures. We illustrate the behavior of the backtrack-downweighted centrality measure on both synthetic and real networks.

Ketersediaan

Informasi Detail

Judul Seri

SIAM JOURNAL ON MATRIX ANALYSIS AND APPLICATIONS; Vol.42 No.3 July-September 2021

No. Panggil

-

Penerbit

: .,

Deskripsi Fisik

p. 1229-1247

Bahasa

English

ISBN/ISSN

-

Klasifikasi

NONE

Tipe Isi

-

Tipe Media

-

Tipe Pembawa

-

Edisi

-

Subjek

GENERATING FUNCTION
LOCALIZATION
COMPLEX NETWORK
CENTRALITY INDEX
NONBACKTRACKING WALK
ZETA FUNCTION

Info Detail Spesifik

-

Pernyataan Tanggungjawab

Francesca Arrigo, Desmond J. Higham, Vanni Noferini

Versi lain/terkait

Lampiran Berkas

Komentar