Journal of Indian Acad. Math  
Vol. 47, No. 2 (2025) pp. 392-396  
ISSN: 0970-5120  
SUMS INVOLVING A FAMILY OF  
GIBONACCI POLYNOMIAL SQUARES:  
GRAPH-THEORETIC CONFIRMATIONS  
Thomas Koshy  
Key words: Gibonacci Polynomial, Fibonacci Polynomial Pell Polynomials,  
Lukas Polynomial. Benet Formula. Graph- theoretic Confirmation.  
MSC2020: Primary 11B37, 11B39, 11C08  
393  
394  
395  
396  
Emeritus Professor  
Framingham State University, Framingham MA01701-910, USA  
(Received, December 19, 2024)  
Email: tkoshy@emeriti.framingham.edu