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Effects of carbohydrate-electrolyte solutions with and without L-menthol on hydration and performance recovery following simulated firefighting exercise. [PDF]
Hsu YJ +4 more
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Residual-aided CSI-free end-to-end learning for multiuser MIMO. [PDF]
Affum EA, Futa O, Oppong MA, Biney DO.
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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).
R Rajkumar, T Anitha
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On the Power of Graph Searching for Cocomparability Graphs
SIAM Journal on Discrete Mathematics, 2016Summary: In this paper we study how graph searching on a cocomparability graph \(G\) can be used to produce cocomp orderings (i.e., orderings that are linear extensions of some transitive orientation of \(\overline{G}\)) that yield simple algorithms for various intractable problems in general.
Corneil, Derek G. +3 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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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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J. Inf. Process. Cybern., 1994
Summary: Graphs with vertex set \(V\) can be ``lifted'' to the power set \(V^\#= {\mathcal P}(V)\backslash \{\varnothing\}\). In this paper graphs and their properties, in particular automorphisms and isomorphisms, are studied with respect to this power construction.
Ulrike Baumann +2 more
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Summary: Graphs with vertex set \(V\) can be ``lifted'' to the power set \(V^\#= {\mathcal P}(V)\backslash \{\varnothing\}\). In this paper graphs and their properties, in particular automorphisms and isomorphisms, are studied with respect to this power construction.
Ulrike Baumann +2 more
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The Chromatic Number of Graph Powers
Combinatorics, Probability and Computing, 2002It is shown that the maximum possible chromatic number of the square of a graph with maximum degree d and girth g is (1 +o(1))d2 if g = 3, 4, 5 or 6, and is Θ(d2 / log d) if g [ges ] 7. Extensions to higher powers are considered as well.
Noga Alon, Bojan Mohar
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