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Complex networks can be understood as graphs whose connectivity deviates from those of regular or near-regular graphs, which are understood as being `simple'. While a great deal of the attention so far dedicated to complex networks has been…

Data Analysis, Statistics and Probability · Physics 2008-08-29 Luciano da Fontoura Costa , Francisco A. Rodrigues

The similarity between protein sequences is a directly and easly computed quantity from which to deduce information about their evolutionary distance and to detect homologous proteins. The SIMAP database -- Similarity Matrix of Proteins --…

Quantitative Methods · Quantitative Biology 2007-05-23 Concetta Miccio , Thomas Rattei

Understanding of how protein interaction networks (PIN) of living organisms have evolved or are organized can be the first stepping stone in unveiling how life works on a fundamental ground. Here we introduce a hybrid network model composed…

Molecular Networks · Quantitative Biology 2007-05-23 K. -I. Goh , B. Kahng , D. Kim

The protein-protein interaction (PPI) network provides an overview of the complex biological reactions vital to an organism's metabolism and survival. Even though in the past PPI network were compared across organisms in detail, there has…

Computer Vision and Pattern Recognition · Computer Science 2023-10-27 Long-Huei Chen , Mohana Prasad Sathya Moorthy , Pratyaksh Sharma

A standard approach to reduce the complexity of very large networks is to group together sets of nodes into clusters according to some criterion which reflects certain structural properties of the network. Beyond the well-known modularity…

Combinatorics · Mathematics 2018-02-23 Ricardo Riaza

Over the years, quantifying the similarity of nodes has been a hot topic in complex networks, yet little has been known about the distributions of node-similarity. In this paper, we consider a typical measure of node-similarity called the…

Social and Information Networks · Computer Science 2019-10-09 Cunlai Pu , Jie Li , Jian Wang , Tony Q. S. Quek

Bibliographic coupling (BC) and co-citation (CC) are the two most common citation-based coupling measures of similarity between scientific items. One can interpret these measures as second-neighbor relations distinguished by the direction…

Physics and Society · Physics 2021-11-01 Jinhyuk Yun

Motivation: Molecular interaction networks summarize complex biological processes as graphs, whose structure is informative of biological function at multiple scales. Simultaneously, omics technologies measure the variation or activity of…

Quantitative Methods · Quantitative Biology 2020-12-24 Ramin Hasibi , Tom Michoel

As a fundamental problem in many different fields, link prediction aims to estimate the likelihood of an existing link between two nodes based on the observed information. Since this problem is related to many applications ranging from…

Physics and Society · Physics 2014-10-01 Hao Liao , An Zeng , Yi-Cheng Zhang

Finding graph indices which are unbiased to network size and density is of high importance both within a given field and across fields for enhancing comparability of modern network science studies. The degree variance is an important metric…

Social and Information Networks · Computer Science 2021-01-26 Keith M. Smith , Javier Escudero

Aligning protein interaction networks (PPI) of two or more organisms consists of finding a mapping of the nodes (proteins) of the networks that captures important structural and functional associations (similarity). It is a well studied but…

Molecular Networks · Quantitative Biology 2020-10-12 Concettina Guerra , Pietro Hiram Guzzi

Comparative graph and network analysis play an important role in both systems biology and pattern recognition, but existing surveys on the topic have historically ignored or underserved one or the other of these fields. We present an…

Social and Information Networks · Computer Science 2019-05-17 Emily Evans , Marissa Graham

The study of the topological structure of complex networks has fascinated researchers for several decades, and today we have a fairly good understanding of the types and reoccurring characteristics of many different complex networks.…

Social and Information Networks · Computer Science 2014-06-23 Matthieu Roy , Stefan Schmid , Gilles Trédan

The brain's structural and functional systems, protein-protein interaction, and gene networks are examples of biological systems that share some features of complex networks, such as highly connected nodes, modularity, and small-world…

Networks represent relationships between entities in many complex systems, spanning from online social interactions to biological cell development and brain connectivity. In many cases, relationships between entities are unambiguously…

Social and Information Networks · Computer Science 2018-01-23 Ivan Brugere , Brian Gallagher , Tanya Y. Berger-Wolf

Proteins are essential macromolecules of life and thus understanding their function is of great importance. The number of functionally unclassified proteins is large even for simple and well studied organisms such as baker's yeast. Methods…

Molecular Networks · Quantitative Biology 2008-02-06 Tijana Milenkovic , Natasa Przulj

The use of graph centrality measures applied to biological networks, such as protein interaction networks, underpins much research into identifying key players within biological processes. This approach however is restricted to dyadic…

Quantitative Methods · Quantitative Biology 2024-10-24 Sarah Lawson , Diane Donovan , James Lefevre

In this paper, we propose a network whose nodes are labeled by the composite numbers and two nodes are connected by an undirected link if they are relatively prime to each other. As the size of the network increases, the network will be…

Combinatorics · Mathematics 2024-07-22 Md Rahil Miraj , Dibakar Ghosh , Chittaranjan Hens

Since proteins carry out biological processes by interacting with other proteins, analyzing the structure of protein-protein interaction (PPI) networks could explain complex biological mechanisms, evolution, and disease. Similarly, studying…

Molecular Networks · Quantitative Biology 2010-04-22 Vesna Memisevic , Tijana Milenkovic , Natasa Przulj

Aligning protein-protein interaction (PPI) networks of different species has drawn a considerable interest recently. This problem is important to investigate evolutionary conserved pathways or protein complexes across species, and to help…

Optimization and Control · Mathematics 2009-05-08 Mikhail Zaslavskiy , Francis Bach , Jean-Philippe Vert