Entropy Measures of Distance Matrix
Copyright policy )Entropy Measures of Distance Matrix
Bonchev and Trinajstic defined two distance based entropy measures to measure the molecular branching of molecular graphs in 1977 [Information theory, distance matrix, and molecular branching, J. Chem. Phys., 38 (1977), 4517–4533]. In this paper we use these entropy measures which are based on distance matrices of graphs. The first one is based on distribution of distances in distance matrix and the second one is based on distribution of distances in upper triangular submatrix. We obtain the two entropy measures of paths, stars, complete graphs, cycles and complete bipartite graphs. Finally we obtain the minimal trees with respect to these entropy measures with fixed diameter.
- AGRI IBRAHIM CECEN UNIVERSITY Turkey
- Selçuk University Turkey
- Universities UK United Kingdom
- Ağrı İbrahim Çeçen University Turkey
Distance in graphs, Chemical graph theory, other, wiener index, Molecular structure (graph-theoretic methods, methods of differential topology, etc.), Trees, Wiener index, Graphical indices (Wiener index, Zagreb index, Randić index, etc.), distance matrix, QA1-939, Information-Theory, entropy measure, distance, Graphs, Mathematics
Distance in graphs, Chemical graph theory, other, wiener index, Molecular structure (graph-theoretic methods, methods of differential topology, etc.), Trees, Wiener index, Graphical indices (Wiener index, Zagreb index, Randić index, etc.), distance matrix, QA1-939, Information-Theory, entropy measure, distance, Graphs, Mathematics
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