Number of Spanning Trees in the Sequence of Some Graphs

Joint Authors

Liu, Jia-Bao
Daoud, S. N.

Source

Complexity

Issue

Vol. 2019, Issue 2019 (31 Dec. 2019), pp.1-22, 22 p.

Publisher

Hindawi Publishing Corporation

Publication Date

2019-03-12

Country of Publication

Egypt

No. of Pages

22

Main Subjects

Philosophy

Abstract EN

In mathematics, one always tries to get new structures from given ones.

This also applies to the realm of graphs, where one can generate many new graphs from a given set of graphs.

In this work, using knowledge of difference equations, we drive the explicit formulas for the number of spanning trees in the sequence of some graphs generated by a triangle by electrically equivalent transformations and rules of weighted generating function.

Finally, we compare the entropy of our graphs with other studied graphs with average degree being 4, 5, and 6.

American Psychological Association (APA)

Liu, Jia-Bao& Daoud, S. N.. 2019. Number of Spanning Trees in the Sequence of Some Graphs. Complexity،Vol. 2019, no. 2019, pp.1-22.
https://search.emarefa.net/detail/BIM-1131763

Modern Language Association (MLA)

Liu, Jia-Bao& Daoud, S. N.. Number of Spanning Trees in the Sequence of Some Graphs. Complexity No. 2019 (2019), pp.1-22.
https://search.emarefa.net/detail/BIM-1131763

American Medical Association (AMA)

Liu, Jia-Bao& Daoud, S. N.. Number of Spanning Trees in the Sequence of Some Graphs. Complexity. 2019. Vol. 2019, no. 2019, pp.1-22.
https://search.emarefa.net/detail/BIM-1131763

Data Type

Journal Articles

Language

English

Notes

Includes bibliographical references

Record ID

BIM-1131763