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On the power graph and the reduced power graph of a finite group
Communications in Algebra, 2019In this paper, for a finite group, we investigate to what extent its directed (resp. undirected) reduced power graph determines its directed power graph (resp. reduced power graph).
T. Anitha, R. Rajkumar
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Graphs whose powers are chordal and graphs whose powers are interval graphs
Journal of Graph Theory, 1997The main theorem of this paper gives a forbidden induced subgraph condition on \(G\) that is sufficient for chordality of \(G^m\). This theorem is a generalization of a theorem of Balakrishnan and Paulraja who had provided this only for \(m=2\).
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Unleashing the Power of Information Graphs [PDF]
ACM SIGMOD Record, 2015 Information graphs are generic graphs that model different types of information through nodes and edges. Knowledge graphs are the most common type of information graphs in which nodes represent entities and edges represent relationships among them.
Lissandrini, Matteo +4 more
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Coloring Powers of Planar Graphs
SIAM Journal on Discrete Mathematics, 2003Summary: We give nontrivial bounds for the inductiveness or degeneracy of power graphs \(G^{k}\) of a planar graph \(G\). This implies bounds for the chromatic number as well, since the inductiveness naturally relates to a greedy algorithm for vertex-coloring the given graph.
Geir Agnarsson, Magnús M. Halldórsson
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Pseudocapacitance: From Fundamental Understanding to High Power Energy Storage Materials
Chemical Reviews, 2020Simon Fleischmann +2 more
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Achieving high energy density and high power density with pseudocapacitive materials
Nature Reviews Materials, 2019Christopher S Choi +2 more
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2D materials as an emerging platform for nanopore-based power generation
Nature Reviews Materials, 2019Michal Macha +2 more
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