On the Adjacency, Laplacian, and Signless Laplacian Spectrum of Coalescence of Complete Graphs
Copyright policy )On the Adjacency, Laplacian, and Signless Laplacian Spectrum of Coalescence of Complete Graphs
Coalescence as one of the operations on a pair of graphs is significant due to its simple form of chromatic polynomial. The adjacency matrix, Laplacian matrix, and signless Laplacian matrix are common matrices usually considered for discussion under spectral graph theory. In this paper, we compute adjacency, Laplacian, and signless Laplacian energy (Qenergy) of coalescence of pair of complete graphs. Also, as an application, we obtain the adjacency energy of subdivision graph and line graph of coalescence from itsQenergy.
Graphs and linear algebra (matrices, eigenvalues, etc.), Spectral problems; spectral geometry; scattering theory on manifolds, QA1-939, Mathematics
Graphs and linear algebra (matrices, eigenvalues, etc.), Spectral problems; spectral geometry; scattering theory on manifolds, QA1-939, Mathematics
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).5 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.Average influence This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).Top 10% impulse This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.Average
Citations provided by BIP!Popularity provided by BIP!