Configuration barrier towards parity-time symmetry in randomly connected mesoscopic sets on a graphMesoscopic and Nanoscale SystemsWe address the issue of dissipative vs. non-dissipative behavior in a mesoscopic set of coupled elements such as oscillators, with one half having gain and the other half...
Most textbooks on graph theory have chapters devoted to this topic, and there exist monographs devoted totally or almost entirely to graph symmetry. Symmetry has been so important for quantum chemistry and spectroscopy that many monographs cover the topic of symmetry operations from the viewpoint of...
Graph Pruning and Symmetry Breaking On Grid Maps 来自 mendeley.com 喜欢 0 阅读量: 40 作者: D Harabor 摘要: My research proposes a new technique for speeding up grid-based pathfinding in performance-sensitive or resource-limited application areas such as robotics and video games. I work ...
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Symmetry refers to a balanced and harmonious arrangement of elements on both sides of a central axis or line. In the context of mathematics, it often involves recognizing and analyzing objects or shapes that can be divided into two equal halves along a specific line, known as the line of sy...
based on Symmetry Graph Stabilization Symmetry in Complex Networks Outline Outline What is symmetry? Theory of Symmetry in complex networks Theory of Symmetry in complex networks Network Model Network Model– origination of symmetry Network Measurement Network Measurement—symmetry based complexity measurement...
A computer program for calculating the graph-theoretical detour matrix is introduced, which uses the topological symmetry of a graph to minimize path-tracing. The high performance of the program allows one to treat graphs of the complexity of fullerenes (e.g., C60). A more logical definition ...
The graph is divided by its symmetry axis. 这个图形沿着对称轴左右对称。 Most of the characters we use in our daily writing do not have axes of symmetry. 我们日常使用的文字大部分没有对称轴。 权威例句 axis of symmetry Axis of symmetry ...
But without a graph, how can we determine algebraically whether a function ff has symmetry? Looking at Figure 13(a) again, we see that since ff is symmetric about the yy-axis, if the point (x,y)(x,y) is on the graph, the point (−x,y)(−x,y) is on the graph. In other...
In this section, we build on the classical heterodimer model for a simple 2-node graph and introduce asymmetry in the coupling between the nodes to understand its impact on the system dynamics. Specifically, we identify a pair of fixed points exchanging stability at a transcritical bifurcation and...