## V\'aclav Havel, Josef Klouda

*Skeletons in multigraphs *

Comment.Math.Univ.Carolinae 34,4 (1993) 689-696. **Abstract:**Under a multigraph it is meant in this paper a general incidence structure with finitely many points and blocks such that there are at least two blocks through any point and also at least two points on any block. Using submultigraphs with saturated points there are defined generating point sets, point bases and point skeletons. The main result is that the complement to any basis (skeleton) is a skeleton (basis).

**Keywords:** multigraph, submultigraph with saturated vertices, generating vertex set, vertex basis, skeleton

**AMS Subject Classification:** Primary 05B30; Secondary 20N05

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