Such a Cayley graph is a model for undirected loop communication networks. Denote M(d, k) the maximal feasible number M with respect to d and k. In the paper, an explicit formula for M(d, 2) is obtained. Also,
Hello. I am trying to develop a graph through the use of a slider in a GUI. I can create this graph with a push button. The graph is created through a for loop. This is an educational idea, since I want the users to see the step by step creation of the graph a...
In graph theory, the “degree” of a given vertex is the number of edges attached to that vertex. References S.O. Bilson-Thompson, A topological model of composite preons. arXiv:hep-ph/0503213 (2005) S.O. Bilson-Thompson, F. Markopoulou, L. Smolin, Quantum gravity and the standard ...
The characterization of circular-arc graphs by a family of forbidden induced subgraphs is a known open problem in intersection graph theory. The recognition of two-interval graphs is a difficult problem. In this paper, we solve the recognition problem for tree loop graphs, that is, loop graphs...
Theory for the captured length (L) of DNA In order to derive an expression for the loop extrusion velocity, we first estimate the loop length of DNA,L, captured by condensin when the attachment points are spatially separated byR. We show that on the length scale of the size of condensin...
In a graph \(G\), if there exists a path from vertex u to vertex v, then we say that v is reachable from vertex u and say that \(u\) is a predecessor of \(v\). 3.2 C-finite recurrences We recall relevant results on (algebraic) recurrences and refer to [14, 15] for further...
Lanczos methods, bond graphs, graph theory, nonlinear methods, decomposition-aggregation, projection methods, parametric methods, singular perturbation theory, large deviations theory, weighted and windowed frequency methods, the Special Coordinate Basis (recall item 20 of Further readings of Chapter 2), ...
the horizontal x-axis of frequency is logarithmic. The magnitude (gain) is given in decibels—that is, a value for the magnitude |T| is plotted on the axis at 20log10|T|. The Bode phase plot is the graph of the phase, commonly expressed in degrees, of the transfer function arg(T(...
these analyses are required to look for small percent-level deviations in the tails of kinematic distributions measured in complex final states. In order to match the required precision in theory simulations higher-order QCD and electroweak (EW) predictions are required for a large number of process...
Thavanesan, On graviton non-Gaussianities in the Effective Field Theory of Inflation, JHEP 10 (2022) 154 [arXiv:2209.00677] [INSPIRE]. ADS MathSciNet Google Scholar G. Cabass, S. Jazayeri, E. Pajer and D. Stefanyszyn, Parity violation in the scalar trispectrum: no-go theorems and ...