On the Laplacian coefficients and Laplacian-like energy of unicyclic graphs with \(n\) vertices and \(m\) pendant vertices

DOI10.1155/2012/404067zbMath1264.05082OpenAlexW1975242032WikidataQ58906847 ScholiaQ58906847MaRDI QIDQ1952839

Xinying Pai, San-Yang Liu

Publication date: 3 June 2013

Published in: Journal of Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2012/404067

zbMATH Keywords

characteristic polynomialLaplacian matrixWiener indexstarlike treesunicyclic graphsLaplacian coefficientssmallest Laplacian-like energy

Mathematics Subject Classification ID

Graph polynomials (05C31) Graphs and linear algebra (matrices, eigenvalues, etc.) (05C50)

Related Items (1)

The signless Laplacian coefficients and the incidence energy of unicyclic graphs with given pendent vertices

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• On the Laplacian coefficients of unicyclic graphs with prescribed matching number
• On the Laplacian coefficients of bicyclic graphs
• Laplacian coefficients of trees with given number of leaves or vertices of degree two
• On the ordering of trees by the Laplacian coefficients
• On the Laplacian coefficients of acyclic graphs
• On the Laplacian coefficients of unicyclic graphs
• Ordering trees by the Laplacian coefficients
• Operational research models in action, the result of international cooperation -- a potpourri
• A certain polynomial of a graph and graphs with an extremal number of trees
• Laplacian coefficients of trees with a given bipartition
• A connection between ordinary and Laplacian spectra of bipartite graphs

This page was built for publication: On the Laplacian coefficients and Laplacian-like energy of unicyclic graphs with \(n\) vertices and \(m\) pendant vertices