An analytical solution of the unidirectional regenerator problem is presented. The effectiveness of a regenerator at any arbitrary distance from the inlet is defined in terms of dimensionless groups determining the problem, computed for a wide range of parameters, and given in a series of graphs. ...
On an inequality in the problem of the approximation of graphs G. Sh. Fridman $39.95 / €34.95 / £29.95 * Rent the article at a discount Rent now * Final gross prices may vary according to local VAT. Get Access The complete tex of the paper has been submitted to the Editors...
A graph $G=(V,E)$ is called 1-planar if it admits a drawing in the plane such that each edge is crossed at most once. In this paper, we study bipartite $1$-planar graphs with prescribed numbers of vertices in partite sets. Bipartite 1-planar graphs are known to have at most $3n...
Mean-field theory of graph neural networks in graph partitioning. NeurIPS 2018. paper Tatsuro Kawamoto, Masashi Tsubaki, Tomoyuki Obuchi. Representation Learning on Graphs with Jumping Knowledge Networks. ICML 2018. paper Keyulu Xu, Chengtao Li, Yonglong Tian, Tomohiro Sonobe, Ken-ichi Kawarabayashi...
Bodendiek, R., Wagner, K. (1990). On the Problem of Relative Components of Minimal Graphs. In: Bodendiek, R., Henn, R. (eds) Topics in Combinatorics and Graph Theory. Physica-Verlag HD. https://doi.org/10.1007/978-3-642-46908-4_1 ...
The uniqueness of the KDG problem. Unlike general graph learning which focuses on fitting one trainable model to the graph data, KDG aims to train a scalable student model to mimic the teacher model. In addition, KDG differs from KD on images or text since graphs lie in non-Euclidean space...
This question is a variation of the well-known forbidden subgraph problem in extremal graph theory, which asks for the maximum number of edges in an H-free graph on n vertices. Asking for the minimum number of edges instead (and tailoring the definition so that this is a sensible question)...
In the field of lithium-based batteries, there is often a substantial divide between academic research and industrial market needs. This is in part driven by a lack of peer-reviewed publications from industry. Here we present a non-academic view on appli
Dujiangyan Tuanjie Primary School teacher Huang Ping gave a special lecture on the second lesson of teacher Chen Yaling. Ms. Huang shared the authenticity of situation creation, the integration of problem solving and calculation, the visualization of thinking through multiple analysis, the visualization...
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...