SIAM Undergraduate Research Online
Volume 14
In This Volume

The HyperType Model for Clustering in Networks
Published electronically November 15, 2021DOI: 10.1137/20S1369142
Authors
Huandong Chang (Grinnell College), Chuming Chen (Grinnell College)
Project Advisors
Nicole Eikmeier (Grinnell College)
Abstract
In the field of network analysis, incorporating higherorder features into network models has become increasingly routine. In this paper we introduce the HyperType network model: an extension of a simple typing model with better clustering due to the focus on triangles instead of single edges. In addition to more realistic clustering, we empirically show HyperType retains many features from the original typing model. We empirically fit HyperType to real data, and show an interesting relationship to a recursive Kronecker product.

Symmetric Random Walks on WheelandSpokes Graphs
Published electronically November 15, 2021 
Analytical Solution of the T, T*, VI, VNI Model for HIV1 Dynamics
Published electronically October 27, 2021 
Crime Attractors and Offender Mobility
Published electronically October 25, 2021 
A New Set of Stability Criteria Extending Lyapunov's Direct Method
Published electronically October 10, 2021 
Higher Order Fourier Finite Element Methods for Hodge Laplacian Problems on Axisymmetric Domains
Published electronically October 10, 2021 
Surfactant Dynamics from the Arnold Perspective
Published electronically September 23, 2021 
Media Processing and A Modified Watermarking Scheme Based on the Singular Value Decomposition
Published electronically September 23, 2021 
The Evolution of the Identifiable Analysis of the COVID19 Virus
Published electronically September 23, 2021 
Antibiotics Resistance Forecasting: A Comparison of Two Time Series Forecast Models
Published electronically September 9, 2021 
Deterministic walks in a random cylinder
Published electronically September 9, 2021 
Analysis of Foreign Media Influence on the South Pacific Environment
Published electronically August 29, 2021 
How significant is the initial population when using a genetic algorithm to solve the quadratic assignment problem?
Published electronically August 29, 2021 
Determination of the parameters in LotkaVolterra equations from population measurementsalgorithms and numerical experiments
Published electronically August 20, 2021 
Increasing number of hospital beds has inconsistent effects on delaying bed shortages due to COVID19
Published electronically August 16, 2021 
Let Optimization Be Your Guide for a Magical Family Trip in Disneyland Paris
Published electronically August 8, 2021 
Defeating the Digital Divide
Published electronically July 28, 2021 
First Occurrence and Frequency of Invisible Lattice Point Patterns
Published electronically July 28, 2021 
Analyzing Epidemic Thresholds on Dynamic Network Structures
Published electronically July 12, 2021 
Analytical Solution to the Large Deformation of Cantilever Beams with Two Angled Point Force
Published electronically May 11, 2021 
SIR Model of Time Dependent Drug and Vaccine Distribution on COVID19
Published electronically May 11, 2021 
Predicting the Spread of COVID19 in Ireland Using an AgeCohort SEIRD Model
Published electronically April 16, 2021 
Numerical Analysis of the Parabolic 1D Optimal Transport Problem
Published electronically March 23, 2021 
The convexity of optimal transportbased waveform inversion for certain structured velocity models
Published electronically March 18, 2021 
A MonteCarlo analysis of competitive balance and reliability across tournament structures
Published electronically March 1, 2021 
Comparing Numerical Solution Methods for the CahnHilliard Equation
Published electronically February 25, 2021 
Clinical Data Validated Mathematical Model for Intermittent Abiraterone Response in CastrationResistant Prostate Cancer Patients
Published electronically February 22, 2021 
Collision Free Motion Planning on a Wedge of Circles
Published electronically January 27, 2021 
Characterization of the Divisibility of DFT HTFs for C2
Published electronically January 19, 2021 
Adapting the Budyko Model to Analyze Permafrost Recession and Potential for Carbon Feedback
Published electronically January 12, 2021 
Quadratization of ODEs: Monomial vs. NonMonomial
Published electronically January 12, 2021
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