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We prove upper bounds for the spectral radius ρ(G) of an n-vertex graph with given maximum degree and girth at least 2ℓ+1. This extends the previous result of [9] regarding graphs with girth at least five. When ℓ=3 or |V(G)| is relatively small compared with the maximum degr...
W. Functional structure of cortical neuronal networks grown in vitro. Phys. Rev. E 75, 021915 (2007). Article CAS Google Scholar Carmeli, C., Bonifazi, P., Robinson, H. P. & Small, M. Quantifying network properties in multi-electrode recordings: spatiotemporal characterization and inter...
Graphene derivatives, such as graphyne and graphdiyne, have received a lot of attention in mathematics and science because of their outstanding optical, electrical, and mechanical capabilities. These materials have various mathematical applications, including Graphyne and graphdiyne are combinatorial graphs in...
Topological descriptors, which are structural invariants grounded in molecular graphs and which capture the fundamental connectivity of molecular networks, have drawn a lot of interest lately due to their applications in the fields of quantitative structure-activity and quantitative structure-property relation...
The Ramsey–Turán problem for cliques Article 01 March 2019 Extremal problems for cycles in graphs Chapter © 2016 Notes 1. Including or leaving out some newer results does not necessarily reflect a value judgement! 2. This refers to the time of the conference, not to when this volume ap...
24 Capacity Characterization of UAV-Enabled Two-User Broadcast Channel Qingqing Wu; Jie Xu; Rui Zhang ArXiv 2018 4 25 A Note on the Inception Score Shane Barratt; Rishi Sharma ArXiv 2018 4 26 Models for energy consumption of data structures and algorithms Phuong Ha; Vi Ngoc-Nha Tran; Ibrah...
the implementation in the future smart grid to guarantee compatibility between all equipment connected. The principal results are based in spectral kurtosis measurements, which easily adapt to the impulsive nature of the power quality events. These results verify that the proposed technique is capable ...
In order to represent the author text, we calculated, for each of these networks, all the graph parameters that we consider relevant for this characterization. The main hyperparameter of the model above described is the number of words w in each text block. We tested several options to ...