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We describe a data structure that maintains the number of triangles in a dynamic undirected graph, subject to insertions and deletions of edges and of degree-zero vertices. More generally it can be used to maintain the number of copies of…

Data Structures and Algorithms · Computer Science 2015-07-16 David Eppstein , Emma S. Spiro

Scientific impact has been the center of extended debate regarding its accuracy and reliability. From hiring committees in academic institutions to governmental agencies that distribute funding, an author's scientific success as measured by…

Social and Information Networks · Computer Science 2021-04-13 Giannis Nikolentzos , George Panagopoulos , Iakovos Evdaimon , Michalis Vazirgiannis

An accurate and fair assessment of the efficiency and impact of scientific work is, despite a lot of recent research effort, still an open problem. The measurement of quality and success of individual scientists and research groups can be…

Digital Libraries · Computer Science 2015-11-19 Miloš Kudělka , Jan Platoš , Pavel Krömer

The Hirsch index (commonly referred to as h-index) is a bibliometric indicator which is widely recognized as effective for measuring the scientific production of a scholar since it summarizes size and impact of the research output. In a…

Statistics Theory · Mathematics 2014-07-29 Luca Pratelli , Alberto Baccini , Lucio Barabesi , Marzia Marcheselli

In the subgraph counting problem, we are given a input graph $G(V, E)$ and a target graph $H$; the goal is to estimate the number of occurrences of $H$ in $G$. Our focus here is on designing sublinear-time algorithms for approximately…

Data Structures and Algorithms · Computer Science 2018-11-20 Sepehr Assadi , Michael Kapralov , Sanjeev Khanna

The h-index has become a widely used metric for evaluating the productivity and citation impact of researchers. Introduced by physicist Jorge E. Hirsch in 2005, the h-index measures both the quantity (number of publications) and quality…

Digital Libraries · Computer Science 2025-03-19 Ali Borji

Citation distributions are lognormal. We use 30 lognormally distributed synthetic series of numbers that simulate real series of citations to investigate the consistency of the h index. Using the lognormal cumulative distribution function,…

Digital Libraries · Computer Science 2021-01-11 Ricardo Brito , Alonso Rodríguez Navarro

The H-index of a node in a static network is the maximum value $h$ such that at least $h$ of its neighbors have a degree of at least $h$. Recently, a generalized version, the $n$-th order H-index, was introduced, allowing to relate degree…

Social and Information Networks · Computer Science 2023-05-26 Lutz Oettershagen , Nils M. Kriege , Petra Mutzel

The Subgraph Isomorphism problem is of considerable importance in computer science. We examine the problem when the pattern graph H is of bounded treewidth, as occurs in a variety of applications. This problem has a well-known algorithm via…

Data Structures and Algorithms · Computer Science 2021-05-12 Karl Bringmann , Jasper Slusallek

A variety of bibliometric measures have been proposed to quantify the impact of researchers and their work. The h-index is a notable and widely-used example which aims to improve over simple metrics such as raw counts of papers or…

Digital Libraries · Computer Science 2013-05-08 Graham Cormode , Qiang Ma , S. Muthukrishnan , Brian Thompson

The h-index is a popular bibliometric indicator for assessing individual scientists. We criticize the h-index from a theoretical point of view. We argue that for the purpose of measuring the overall scientific impact of a scientist (or some…

Digital Libraries · Computer Science 2011-08-22 Ludo Waltman , Nees Jan van Eck

The h index is a widely recognized metric for assessing the research impact of scholars, defined as the maximum value h such that the scholar has published h papers each cited at least h times. While it has proven useful measuring…

In order to advance academic research, it is important to assess and evaluate the academic influence of researchers and the findings they produce. Citation metrics are universally used methods to evaluate researchers. Amongst the several…

Digital Libraries · Computer Science 2023-05-18 Aashay Singhal , Kamalakar Karlapalem

The h-index -- the value for which an individual has published at least h papers with at least h citations -- has become a popular metric to assess the citation impact of scientists. As already noted in the original work of Hirsch and as…

Data Analysis, Statistics and Probability · Physics 2010-03-18 S. Redner

Counting small subgraphs, referred to as motifs, in large graphs is a fundamental task in graph analysis, extensively studied across various contexts and computational models. In the sublinear-time regime, the relaxed problem of approximate…

Data Structures and Algorithms · Computer Science 2025-03-14 Talya Eden , Reut Levi , Dana Ron , Ronitt Rubinfeld

Identifying influential nodes in complex networks has received increasing attention for its great theoretical and practical applications in many fields. Traditional methods, such as degree centrality, betweenness centrality, closeness…

Physics and Society · Physics 2018-08-15 Qiang Liu , Yuxiao Zhu , Yan Jia , Lu Deng , Bin Zhou , Junxing Zhu , Peng Zou

Higher criticism is a large-scale testing procedure that can attain the optimal detection boundary for sparse and faint signals. However, there has been a lack of knowledge in most existing works about its asymptotic distribution for more…

Statistics Theory · Mathematics 2025-11-11 Jingkun Qiu

The Hirsch index or h-index is widely used to quantify the impact of an individual's scientific research output, determining the highest number h of a scientist's papers that received at least h citations. Several variants of the index have…

Physics and Society · Physics 2015-05-19 Michael Schreiber

We consider the problem of sampling and approximately counting an arbitrary given motif $H$ in a graph $G$, where access to $G$ is given via queries: degree, neighbor, and pair, as well as uniform edge sample queries. Previous algorithms…

Data Structures and Algorithms · Computer Science 2021-07-20 Amartya Shankha Biswas , Talya Eden , Ronitt Rubinfeld

Suppose one has a collection of parameters indexed by a (possibly infinite dimensional) set. Given data generated from some distribution, the objective is to estimate the maximal parameter in this collection evaluated at this distribution.…

Methodology · Statistics 2016-05-26 Alexander R. Luedtke , Mark J. van der Laan
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