1 Table of Contents: “... Colorings -- 4. Set-Defined Irregular Colorings -- 5. Multiset-Defined Irregular Colorings -- 6. Sum-Defined...”

2 Table of Contents: “... and Hamiltonian Walks -- 7. Complete Colorings -- 8. Color Connection and Disconnection...”

3 Table of Contents: “...1. Introduction -- 2. Binomial Edge Colorings -- 3. Kaleidoscopic Edge Colorings -- 4. Graceful...”

4 Table of Contents: “... -- 5. Rainbow Mean Index -- 6. Royal Colorings -- 7. Traversable Irregularity -- 8. Ascending Subgraph...”

5 Table of Contents: “... and traversability -- Colorings and related topics -- Algebraic graph theory -- Topological graph theory -- Analytic...”

6 “... connection to the four color theorem is described to aid mathematicians to initiate new methods...”

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