On acyclic systems with minimal Hosoya index. (English) Zbl 0999.05020
Summary: The Hosoya index of a graph is defined as the total number of independent edge subsets of the graph. We characterize the trees with a given size of matching and having minimal and second minimal Hosoya index.
MSC:
05C05 | Trees |
05C70 | Edge subsets with special properties (factorization, matching, partitioning, covering and packing, etc.) |
05C75 | Structural characterization of families of graphs |
05C35 | Extremal problems in graph theory |
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