Research output per year
Research output per year
Luca Rossi*, Andrea Torsello
Research output: Chapter in Book/Published conference output › Conference publication
In recent years, the increasing availability of data describing the dynamics of real-world systems led to a surge of interest in the complex networks of interactions that emerge from such systems. Several measures have been introduced to analyse these networks, and among them one of the most fundamental ones is vertex centrality, which quantifies the importance of a vertex within a graph. In this paper, we propose a novel vertex centrality measure based on the quantum information theoretical concept of Holevo quantity. More specifically, we measure the importance of a vertex in terms of the variation in graph entropy before and after its removal from the graph. More specifically, we find that the centrality of a vertex v can be broken down in two parts: (1) one which is negatively correlated with the degree centrality of v, and (2) one which depends on the emergence of non-trivial structures in the graph when v is disconnected from the rest of the graph. Finally, we evaluate our centrality measure on a number of real-world as well as synthetic networks, and we compare it against a set of commonly used alternative measures.
Original language | English |
---|---|
Title of host publication | Graph-based representations in pattern recognition : 11th IAPR-TC-15 international workshop, GbRPR 2017. Proceedings |
Editors | Pasquale Foggia, Cheng-Lin Liu, Mario Vento |
Place of Publication | Cham (CH) |
Publisher | Springer |
Pages | 154-164 |
Number of pages | 11 |
ISBN (Electronic) | 978-3-319-58961-9 |
ISBN (Print) | 978-3-319-58960-2 |
DOIs | |
Publication status | Published - 2017 |
Event | 11th IAPR-TC-15 International Workshop on Graph-Based Representations in Pattern Recognition, GbRPR 2017 - Anacapri, Italy Duration: 16 May 2017 → 18 May 2017 |
Name | Lecture Notes in Computer Science |
---|---|
Publisher | Springer |
Volume | 10310 |
ISSN (Print) | 0302-9743 |
ISSN (Electronic) | 1611-3349 |
Conference | 11th IAPR-TC-15 International Workshop on Graph-Based Representations in Pattern Recognition, GbRPR 2017 |
---|---|
Country/Territory | Italy |
City | Anacapri |
Period | 16/05/17 → 18/05/17 |
Research output: Chapter in Book/Published conference output › Conference publication
Research output: Chapter in Book/Published conference output › Conference publication