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## On Path Laplacian Eigenvalues and Path Laplacian Energy of Graphs

#### Shridhar Chandrakant PATEKAR [1] , Maruti Mukinda SHİKARE [2]

We introduce the concept of Path Laplacian Matrix for a graph and explore the eigenvalues of this matrix. The eigenvalues of this matrix are called the path Laplacian eigenvalues of the graph. We investigate path Laplacian eigenvalues of some classes of graph. Several results concerning path Laplacian eigenvalues of graphs have been obtained.

Path, Real symmetric matrix, Laplacian matrix
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Primary Language en Engineering Research Article Author: Shridhar Chandrakant PATEKAR Author: Maruti Mukinda SHİKARE Publication Date : January 28, 2018
 Bibtex @research article { jnt399441, journal = {Journal of New Theory}, issn = {2149-1402}, address = {Mathematics Department, Gaziosmanpasa University 60250 Tokat-TURKEY.}, publisher = {Gaziosmanpasa University}, year = {2018}, volume = {}, pages = {93 - 101}, doi = {}, title = {On Path Laplacian Eigenvalues and Path Laplacian Energy of Graphs}, key = {cite}, author = {Patekar, Shridhar Chandrakant and Shikare, Maruti Mukinda} } APA Patekar, S , Shikare, M . (2018). On Path Laplacian Eigenvalues and Path Laplacian Energy of Graphs . Journal of New Theory , (20) , 93-101 . Retrieved from https://dergipark.org.tr/en/pub/jnt/issue/34781/399441 MLA Patekar, S , Shikare, M . "On Path Laplacian Eigenvalues and Path Laplacian Energy of Graphs" . Journal of New Theory (2018 ): 93-101 Chicago Patekar, S , Shikare, M . "On Path Laplacian Eigenvalues and Path Laplacian Energy of Graphs". Journal of New Theory (2018 ): 93-101 RIS TY - JOUR T1 - On Path Laplacian Eigenvalues and Path Laplacian Energy of Graphs AU - Shridhar Chandrakant Patekar , Maruti Mukinda Shikare Y1 - 2018 PY - 2018 N1 - DO - T2 - Journal of New Theory JF - Journal JO - JOR SP - 93 EP - 101 VL - IS - 20 SN - 2149-1402- M3 - UR - Y2 - 2018 ER - EndNote %0 Journal of New Theory On Path Laplacian Eigenvalues and Path Laplacian Energy of Graphs %A Shridhar Chandrakant Patekar , Maruti Mukinda Shikare %T On Path Laplacian Eigenvalues and Path Laplacian Energy of Graphs %D 2018 %J Journal of New Theory %P 2149-1402- %V %N 20 %R %U ISNAD Patekar, Shridhar Chandrakant , Shikare, Maruti Mukinda . "On Path Laplacian Eigenvalues and Path Laplacian Energy of Graphs". Journal of New Theory / 20 (January 2018): 93-101 . AMA Patekar S , Shikare M . On Path Laplacian Eigenvalues and Path Laplacian Energy of Graphs. JNT. 2018; (20): 93-101. Vancouver Patekar S , Shikare M . On Path Laplacian Eigenvalues and Path Laplacian Energy of Graphs. Journal of New Theory. 2018; (20): 93-101. IEEE S. Patekar and M. Shikare , "On Path Laplacian Eigenvalues and Path Laplacian Energy of Graphs", Journal of New Theory, no. 20, pp. 93-101, Jan. 2018

Authors of the Article
[1]
[2]