Results 271 to 280 of about 5,539,148 (288)

Powers of graphs

Proceedings of the sixteenth annual ACM symposium on Theory of computing - STOC '84, 1984
In this paper we investigate a powerful, and yet simple, technique for devising approximation algorithms for a wide variety of NP-complete problems in routing, location, and communication network design. Each of the algorithms presented here delivers an approximate solution guaranteed to be within a constant factor of the optimal solution. In addition,
Dorit S. Hochbaum, David B. Shmoys
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Coloring Powers of Chordal Graphs

SIAM Journal on Discrete Mathematics, 2004
Summary: We prove that the \(k\)th power \(G^{k}\) of a chordal graph \(G\) with maximum degree \(\Delta\) is \(O(\sqrt{k}\Delta^{(k+1)/2})\)-degenerate for even values of \(k\) and \(O(\Delta^{(k+1)/2})\)-degenerate for odd values. In particular, this bounds the chromatic number \(\chi(G^k)\) of the \(k\)th power of \(G\).
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Comparing the Power of Games on Graphs

Mathematical Logic Quarterly, 1997
AbstractThe descriptive complexity of a problem is the complexity of describing the problem in some logical formalism. One of the few techniques for proving separation results in descriptive complexity is to make use of games on graphs played between two players, called the spoiler and the duplicator. There are two types of these games, which differ in
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Applying Power Graph Analysis to Weighted Graphs

2012
We expanded Power Graph Analysis for use with weighted graphs, applying the technique to document categorisation with promising results. With the additional weight information we were able to create more accurate representations of the underlying data while maintaining a high level of edge reduction and improving visualisation of the graph.
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Multi-Meteorological-Factor-Based Graph Modeling for Photovoltaic Power Forecasting

IEEE Transactions on Sustainable Energy, 2021
Guoqiang Sun, Tao Ding, Zhinong Wei
exaly  

Between the enhanced power graph and the commuting graph

Journal of Graph Theory, 2023
Peter Cameron, Bojan Kuzma
exaly  

On the enhanced power graph of a finite group

Communications in Algebra, 2021
Ramesh Prasad Panda, Jitender Kumar, Sandeep Dalal   +2 more
exaly  

A Spatiotemporal Directed Graph Convolution Network for Ultra-Short-Term Wind Power Prediction

IEEE Transactions on Sustainable Energy, 2023
Yongning Zhao, Lin YE, Ming Pei
exaly  

The power graph of a finite group

Discrete Mathematics, 2011
Shamik Ghosh, Peter Cameron
exaly  

Graph-Theoretic Analysis of Power Systems

Proceedings of the IEEE, 2018
Takayuki Ishizaki, Aranya Chakrabortty, Jun-ichi Imura   +2 more
exaly