### Construction of $L$-Borderenergetic Graphs

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**Authors:**S. K. VAIDYA AND K. M. POPAT

**DOI:**10.46793/KgJMat2106.873V

**Abstract:**

If a graph G of order n has the Laplacian energy same as that of complete graph K

_{n}then G is said to be L-borderenergeic graph. It is interesting and challenging as well to identify the graphs which are L-borderenergetic as only few graphs are known to be L-borderenergetic. In the present work we have investigated a sequence of L-borderenergetic graphs and also devise a procedure to ﬁnd sequence of L-borderenergetic graphs from the known L-borderenergetic graph.

**Keywords:**

Borderenergetic, L-borderenergetic, energy.

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