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Different peoples need different introduction. If anyone want a ligth weight smooth reading I'll recommend Wilson. Although it is easy read, it'll take you even to the matroids.

If anyone want a proof based intro, research paper like, then West is the best choice. Deistel, Harary are to some extent for intermediate/advanced readers.

Some encycopedic resources are Handbook of Graph Theory, Handbook of Discrete and Combinatorial Mathematics, and are easy read.

By any means bondy-murty ranks first, assumed that readers are not below average.

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