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Gauge loop-string-hadron formulation on general graphs and applications to fully gauge fixed Hamiltonian lattice gauge theory [PDF]
Journal of High Energy PhysicsWe develop a gauge invariant, Loop-String-Hadron (LSH) based representation of SU(2) Yang-Mills theory defined on a general graph consisting of vertices and half-links.
Ivan M. Burbano, Christian W. Bauer
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Dead Center Identification of Single-DOF Multi-Loop Planar Manipulator and Linkage Based on Graph Theory and Transmission Angle [PDF]
IEEE Access, 2019 The dead center position (or singular position) is an important kinematic characteristic in mechanical design. However, its identification is a challenging task and becomes even more complex in multi-loop planar linkages (or manipulators).
Liangyi Nie, Huafeng Ding, Jinqiang Gan
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Self-loops in evolutionary graph theory: Friends or foes? [PDF]
PLOS Computational Biology, 2023 Evolutionary dynamics in spatially structured populations has been studied for a long time. More recently, the focus has been to construct structures that amplify selection by fixing beneficial mutations with higher probability than the well-mixed population and lower probability of fixation for deleterious mutations.
Nikhil Sharma +2 more
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A radical theory for graphs that do not admit loops [PDF]
Periodica Mathematica Hungarica, 2022 AbstractThere is a well-developed theory of connectednesses and disconnectednesses (= radical theory) for the category of graphs that admit loops. Here it is shown that such a theory for the category of graphs that do not allow loops degenerates to the trivial case for all the Hoehnke radicals, but there are non-trivial connectednesses (KA-radical ...
Stefan Veldsman
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Summing one-loop graphs in a theory with broken symmetry [PDF]
Physical Review D, 1993 The method suggested by Lowell Brown for calculating multi-particle threshold amplitudes is extended to the one-loop level in scalar theories with broken reflection symmetry. A result for the threshold amplitude for multiparticle production is derived. It is also shown that the tree-level amplitude for 2 on-mass-shell particles producing $n$ particles ...
Brian H. Smith
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Generating loop graphs via Hopf algebra in quantum field theory [PDF]
Journal of Mathematical Physics, 2006 We use the Hopf algebra structure of the time-ordered algebra of field operators to generate all connected weighted Feynman graphs in a recursive and efficient manner. The algebraic representation of the graphs is such that they can be evaluated directly as contributions to the connected n-point functions.
Mestre, Ângela, Oeckl, Robert
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The d=6 trace anomaly from quantum field theory four-loop graphs in one dimension [PDF]
Nuclear Physics B, 2001 23 pages, 17 ...
Hatzinikitas, A., Portugal, R.
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Optimization Model of Closed Loop Supply Chain Based on System Dynamics and Graph Theory
International Journal of u- and e- Service, Science and Technology, 2016 In order to assist in the reverse recovery decision of emergency logistics in sudden natural disasters, this paper conducts the system modeling on the reverse recovery of reusable materials in several disaster areas from the perspective of system dynamics under the principle of rescue satisfaction preference.
Ying Xu, Xuemei Zhang, Yu Hong
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Applications oriented input design for closed-loop system identification: a graph-theory approach
53rd IEEE Conference on Decision and Control, 2014 A new approach to experimental design for identification of closed-loop models is presented. The method considers the design of an experiment by minimizing experimental cost, subject to probabilistic bounds on the input and output signals, and quality constraints on the identified model.
Afrooz Ebadat +4 more
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Mapping fiber, loop and suspension graphs in naive discrete homotopy theory [PDF]
Discrete homotopy theory or A-homotopy theory is a combinatorial homotopy theory defined on graphs, simplicial complexes, and metric spaces, reflecting information about their connectivity. The present paper aims to further understand the (non-)similarities between the A-homotopy and ordinary homotopy theories through explicit constructions.
So Yamagata
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