Results 71 to 80 of about 789,258 (121)
arXiv, 2015 We show that the abelian girth of a graph is at least three times its girth. We prove an analogue of the Moore bound for the abelian girth of regular graphs, where the degree of the graph is fixed and the number of vertices is large. We conclude that one could try to improve the Moore bound for graphs of fixed degree and many vertices by trying to ...
arxiv
arXivThis survey on graphs of large girth consists of two parts. The first deals with some aspects of algebraic and extremal graph theory loosely related to the Moore bound. Our point of departure for the second, Ramsey theoretic, part are some constructions of graphs with large chromatic number and large girth; this will lead us to a discussion of the ...
arxiv
Graphs with large girth and free groups [PDF]
arXiv, 2019 We use Margulis' construction together with lattice counting arguments to build Cayley graphs on $\mathrm{SL}_{2}\left(\mathbb{F}_{p}\right),\;p\to\infty$ which are d-regular graphs with girth $\geq\frac{2}{3}\frac{\ln\left(n\right)}{\ln\left(d-1\right)+\ln\left(C\right)}$ for some absolute constant C.
arxiv
Quantum Coding via Quasi-Cyclic Block Matrix. [PDF]
Entropy (Basel), 2023 Li Y, Li JY.
europepmc +1 more source
The Postural and Body Surface Temperature Response of Leisure Horses to Lunging with Selected Lunging Aids. [PDF]
Animals (Basel), 2023 Maśko M +5 more
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Constructions and Comparisons of Pooling Matrices for Pooled Testing of COVID-19. [PDF]
IEEE Trans Netw Sci Eng, 2022 Lin YJ +4 more
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Construction of LDPC convolutional codes via difference triangle sets. [PDF]
Des Codes Cryptogr, 2021 Alfarano GN, Lieb J, Rosenthal J.
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Machine Learning and 3D Reconstruction of Materials Surface for Nondestructive Inspection. [PDF]
Sensors (Basel), 2022 Kartashov OO +6 more
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Moderate-density parity-check codes from projective bundles. [PDF]
Des Codes Cryptogr, 2022 Bariffi J +3 more
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