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Interdisciplinary Information Sciences
Article . 2017 . Peer-reviewed
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zbMATH Open
Article . 2017
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Quadratic Embedding Constants of Wheel Graphs

Quadratic embedding constants of wheel graphs
Authors: Obata, Nobuaki;

Quadratic Embedding Constants of Wheel Graphs

Abstract

Summary: A connected graph is said to be of QE class if it admits a quadratic embedding in a Hilbert space, or equivalently if the distance matrix is conditionally negative definite, or equivalently if the quadratic embedding constant (QEC) of a graph is non-positive. The QEC of wheel graphs are calculated explicitly.

Related Organizations
Keywords

Connectivity, distance matrix, QE constant, Graphs and linear algebra (matrices, eigenvalues, etc.), Graph operations (line graphs, products, etc.), quadratic embedding, conditionally negative definite matrix, wheel graph, Combinatorial aspects of matrices (incidence, Hadamard, etc.)

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
2
Average
Average
Average
gold