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Graph theory and piecewise smooth dynamical systems of arbitrary dimension

, 1999
The authors present a method for finding all possible classes of periodic responses in a given piecewise smooth system and extend this approach to systems of arbitrary dimension. The authors apply their general approach to two particular problems, that is dynamics of the confined rocking block and a heat exchanger respectively.
S. J. Hogan, Martin Homer
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Evaluation of supply chain resilience index: a graph theory based approach

Benchmarking : An International Journal, 2021
PurposeThe present study aims at developing a model to quantify supply chain resilience as a single numerical value. The numerical value is called resilience index that measures the resilience capability of the case company's supply chain.
Nishtha Agarwal, N. Seth, A. Agarwal
semanticscholar   +1 more source

Graph-Theory-Based Molecular Fragmentation for Efficient and Accurate Potential Surface Calculations in Multiple Dimensions

Journal of Chemical Theory and Computation, 2021
We present a multitopology molecular fragmentation approach, based on graph theory, to calculate multidimensional potential energy surfaces in agreement with post-Hartree-Fock levels of theory but at the density functional theory cost. A molecular assembly is coarse-grained into a set of graph-theoretic nodes that are then connected with edges to ...
Anup Kumar, Nicole DeGregorio, Srinivasan S. Iyengar   +2 more
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Efficient Basin-Hopping Sampling of Reaction Intermediates through Molecular Fragmentation and Graph Theory.

Journal of Chemical Theory and Computation, 2014
Basin-hopping sampling has been widely used for searching local minima on a potential energy surface. Reaction intermediates including reactants and products are also local minima composed of a reaction path, but their brute-force sampling is too ...
Yeonjoon Kim, Sunghwan Choi, W. Kim
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Compilation of two-point and four-point graphs in field theory in noninteger dimensions

Journal of Mathematical Physics, 1994
Two-point and four-point graphs appearing in a three-loop approximation in the field theory renormalization group scheme are calculated in general dimensions. Combining Feynman parameterization and direct integration loop integrals are represented in the form of the expressions, depending on the space dimension d as a parameter.
Yu. Holovatch, T. Krokhmal’s’kii
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Graph Parameters and Ramsey Theory

International Workshop on Combinatorial Algorithms, 2016
Ramsey’s Theorem tells us that there are exactly two minimal hereditary classes containing graphs with arbitrarily many vertices: the class of complete graphs and the class of edgeless graphs.
V. Lozin
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