Reconstruction of old maps based on old photos using fuzzy graphs
摘要
About 70 years ago, the reconstruction conjecture was proposed as an interesting problem in graph theory. In this paper, we extend the concept of reconstruction to fuzzy graphs and introduce the new concept of recognizable properties. We then explore various recognizable properties of fuzzy graphs, including regularity, degree sequence, strength, and block. Additionally, we identify some reconstructable fuzzy graphs. Finally, in conclusion, the reconstruction of fuzzy graphs can be applied to recover old maps by analyzing old photos.