The Havel-Hakimi theorem gives the conditions for a sequence to correspond to one of these. Ramsey's theorem deals with the coloring of complete ones. They can occur in undirected and directed forms, the latter of which gives a direction to one of their components. Hamilton and Euler (OY-ler) name cycles in these; Euler's is used in the Seven Bridges of Konigsberg Problem, which launched the study of them. For 10 points, name these mathematical o
The Havel-Hakimi theorem gives the conditions for a sequence to correspond to one of these. Ramsey's theorem deals with the coloring of complete ones. They can occur in undirected and directed forms, the latter of which gives a direction to one of their components. Hamilton and Euler (OY-ler) name cycles in these; Euler's is used in the Seven Bridges of Konigsberg Problem, which launched the study of them. For 10 points, name these mathematical objects made of vertices and edges.
The Havel-Hakimi theorem gives the conditions for a sequence to correspond to one of these.
graphs