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An English translation, assisted by the author, of the 1987 Russian edition (M.:Nauka.Gl.red.Fiz.-mat.lit.). Includes a Glossary-Index-Bibliography that should be of immense value. Many exercises at the end of each section. A sample of topics: Simple, labeled, multi-, topological and directed graphs; numerous invariants - optimum and critical graphs; the isomorphism problem and Vizing's construction; reconstruction problems; matchings; embeddings in surfaces; planarity; Hadwiger's conjecture; various colorings; perfect graphs; reachability; kernels; many others. Appendix on Boolean methods in graph theory.
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