Maden, Ayşe Dilek GüngörÇevik, Ahmet SinanDas, Kinkar Chandra2023-05-222023-05-222013Maden, A. D. vd. (2013). “On the Kirchhoff matrix, a new Kirchhoff index and the Kirchhoff energy”. Journal of Inequalities and Applications, 2013.1029-242Xhttps://doi.org/10.1186/1029-242X-2013-337https://journalofinequalitiesandapplications.springeropen.com/articles/10.1186/1029-242X-2013-337http://hdl.handle.net/11452/32736The main purpose of this paper is to define and investigate the Kirchhoff matrix, a new Kirchhoff index, the Kirchhoff energy and the Kirchhoff Estrada index of a graph. In addition, we establish upper and lower bounds for these new indexes and energy. In the final section, we point out a new possible application area for graphs by considering this new Kirchhoff matrix. Since graph theoretical studies (including graph parameters) consist of some fixed point techniques, they have been applied in the fields such as chemistry (in the meaning of atoms, molecules, energy etc.) and engineering (in the meaning of signal processing etc.), game theory, and physics.eninfo:eu-repo/semantics/openAccessMathematicsKirchhoff matrixKirchhoff Estrada indexKirchhoff energyLower and upper boundsResistance distanceComplex networkFolding degreeExtrada indexArticle0003236627000052-s2.0-848936843882013Mathematics, appliedMathematicsConnected Graph; Laplacian Eigenvalues; Graph