Connected nonplanar graph

by | Sep 10, 2021 | Homework Help

Is there a connected nonplanar graph with 7 vertices which is 3-chromatic (it is the minimal number needed for coloring) and has no Euler cycle? Is there such a graph without both an Euler cycle and a Hamiltonian Cycle? Provide an explanation and drawing (with edge intersections if needed in both cases is the graph (or graphs) exist.

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