id	author	title	date	pages	extension	mime	words	sentence	flesch	summary	cache	txt
cana-3856	S. H. Pathan	On Sombor Energy of Graphs with self-loops	2025	14	.pdf	application/pdf	3955	277	90	− √2((𝑛 − 1)2 + 2𝜎)2 + 4𝜎(2(𝑛2 − 1) + 4(𝑛 − 𝜎)) 2 = √2 (𝑛+1)(𝜎−1)𝜎+(𝑛−𝜎−1)(𝑛(𝑛−1)+(𝑛+1)𝜎) 𝑛 + √2((𝑛 √2 2 = 1 √2 [2𝑛2 − 4𝑛 + 2 − 𝑛 − 1 + (𝑛 − 1)(2𝑛 − 2 + 𝑛 + 1) + (2𝑛2 + 2𝑛 − 𝑛 − 1) + 𝑛2 − 1] = 1 √2 (8𝑛2 − 8𝑛) = 4√2𝑛(𝑛 − 1)	cache/cana-3856.pdf	txt/cana-3856.txt