This document presents a new face recognition method called Linear-Diagonal Binary Graph Pattern (LD-BGP) feature extraction. LD-BGP operates on image blocks and assigns an 8-bit code to each pixel by considering its linear and diagonal neighbors. This captures both straight and diagonal connectivity. Testing on the ORL face database achieved an accuracy of 95.3% for identification using Euclidean distance matching. The method was shown to be effective even with variation in lighting, expressions and other factors. Face recognition has applications in access control, surveillance, and other areas that require verifying or identifying individuals from images.