Introduction to Graph Theory · Problem 3.1

Multigraphs — Darij Grinberg

Mathematics — Graph Theory · multigraph-generalizations

Problem

Which of the Exercises 2.3, 2.4, 2.7, 2.14, 2.15, 2.5 and 2.8 remain true if ``simple graph'' is replaced by ``multigraph''? (For each exercise that becomes false, provide a counterexample. For each exercise that remains true, either provide a new solution that works for multigraphs, or argue that the solution we have seen applies verbatim to multigraphs, or derive the multigraph case from the simple graph case.)

Browse the problem library