This $350,000 National Science Foundation project grant supports statistical modeling research for complex networks at the University of Michigan from September 2022 through August 2025. Funded through the NSF's Mathematical and Physical Sciences program (CFDA 47.049), the award aims to develop new statistical methodologies and theory to incorporate higher-order structures into network modeling. Specifically, the investigators will study leveraging subgraphs and other higher-order structures...
This federal Project Grant award, funded by the National Science Foundation's (NSF) Mathematical and Physical Sciences Program (CFDA 47.049), supports research to develop a systematic mathematical approach for analyzing and visualizing large networks. The Principal Investigator (PI) aims to integrate discrete mathematics and analysis to extract large-scale features of complex networks, with potential applications in areas such as data analysis in sociology, psychology, and image processing....
This $210,000 Project Grant awarded by the National Science Foundation (NSF) under the Mathematical and Physical Sciences (CFDA 47.049) program supports research on combinatorial models in representation theory, geometry, and analysis. The principal investigator (PI) at Smith College will analyze two types of edge-labeled graphs - webs and algebraic splines - with applications in areas like knot theory, representation theory, combinatorics, and data compression/interpolation. The project will...
This $300,000 Project Grant from the National Science Foundation Division of Mathematical Sciences under the Mathematical and Physical Sciences program (CFDA 47.049) will fund research into spectral methods for single and multiple graph inference networks. The grantee, North Carolina State University, will develop efficient parameter estimation methods for latent position graphs and valid two-sample testing procedures for comparing latent position graphs while ignoring irrelevant features. The...
The National Science Foundation (NSF) awarded a $270,000 Project Grant under the Mathematical and Physical Sciences Federal Grant Program (CFDA 47.049) to Carnegie Mellon University (CMU) to study various properties of random graphs/networks. The principal investigator will examine computational problems associated with these complex stochastic structures, such as optimizing routing algorithms. The research will involve graduate students and postdocs, and aims to address fundamental questions...
This National Science Foundation (NSF) Project Grant award for $128,950, issued under the Mathematical and Physical Sciences program (CFDA 47.049), supports collaborative research on the implications of self-similar structure in dynamical networks. The research aims to bridge analytical theories of fractals and differential equations on fractals with applications in network science. Key focus areas include developing geometric approaches to constructing harmonic maps on fractals, analyzing...
The National Science Foundation awarded a $249,460 project grant to Texas A&M University from July 1, 2021 to June 30, 2024 under the Mathematical and Physical Sciences program (CFDA 47.049). The university will research the geometry of graphs and Banach spaces over this three-year period. The Mathematical and Physical Sciences program aims to advance these fields and strengthen the nation's scientific enterprise through increased knowledge and understanding of major problems. This...
The National Science Foundation (NSF) awarded Villanova University a $210,000 Project Grant under the Mathematical and Physical Sciences program (CFDA 47.049) to conduct research in spectral and extremal graph theory. The three-year project focuses on two main thrusts: 1) studying classical Turán and Ramsey theory, which are central areas in combinatorics, and 2) investigating extremal problems in spectral graph theory using linear algebra to deduce combinatorial properties of graphs. The...
The National Science Foundation Division of Mathematical Sciences awarded $249,814 under the Mathematical and Physical Sciences (CFDA 47.049) federal grant program to the Research Foundation of the City University of New York to analyze random structures and stochastic dynamics arising across scientific disciplines. The three-year project grant will support theoretical and empirical analysis of spatial and non-spatial random graph models, stochastic processes on graphs, and network-based...
This National Science Foundation Project Grant of $498,686 supports research into graph theory at California State University, Stanislaus from August 2022 through July 2024. The grant funds investigation into the Erdos-Korado property of well-covered graphs and related concepts for certain classes of graphs. Undergraduate student researchers will work in pairs on parts of the project to study the maximum size of intersecting families of independent sets of fixed size in graphs. They will gain...