# Combinatorics, Discrete Mathematics, Symmetry and Regularity in Graphs, Graph Indices, Graph Parameters and Applications of Graph Theory

A special issue of *Symmetry* (ISSN 2073-8994). This special issue belongs to the section "Mathematics".

Deadline for manuscript submissions: **closed (31 December 2023)** | Viewed by 29110

## Special Issue Editors

**Interests:**combinatorics; graph theory; chemical graph theory; topological indices; discrete groups; number theory

**Interests:**spectral graph theory; extrema lGraph theory; molecular graph theory; graph labeling; graph algorithm; discrete mathematics; combinatorics

Special Issues, Collections and Topics in MDPI journals

## Special Issue Information

Dear Colleagues,

Combinatorics is the branch of mathematics that deals with combinations of objects belonging to a finite set in accordance with certain constraints, such as those of graph theory.

A graph index is a mathematical formula that can be applied to any graph to obtain information regarding the real life problem modeled by the graph. By means of such an index, it is possible to comment on the mathematical values obtained to understand some physico-chemical properties of the molecule, or the required information on a social science problem, such as transportation or communication, which is under investigation. By employing this index, it is possible to avoid expensive and time-consuming laboratory experiments. These advantages have increased the interest in graph theory and the number of good publications in the area.

The first graph index is the Wiener index, defined and used by Harold Wiener in 1947, which helped him to compare the boiling points of some alkane isomers. Since then, more than 3000 topological graph indices have been registered in mathematical and chemical databases; that is, this subject is mostly studied by mathematicians and chemists. There are a large number of researchers who deal with topological graph indices all around the world, and the interest in the topic is rapidly increasing.

Please note that all submitted papers must be within the general scope of the *Symmetry* journal.

Prof. Dr. Ismail Naci Cangul

Prof. Dr. Kinkar Chandra Das

Prof. Dr. Ahmet Sinan Cevik*Guest Editors*

**Manuscript Submission Information**

Manuscripts should be submitted online at www.mdpi.com by registering and logging in to this website. Once you are registered, click here to go to the submission form. Manuscripts can be submitted until the deadline. All submissions that pass pre-check are peer-reviewed. Accepted papers will be published continuously in the journal (as soon as accepted) and will be listed together on the special issue website. Research articles, review articles as well as short communications are invited. For planned papers, a title and short abstract (about 100 words) can be sent to the Editorial Office for announcement on this website.

Submitted manuscripts should not have been published previously, nor be under consideration for publication elsewhere (except conference proceedings papers). All manuscripts are thoroughly refereed through a single-blind peer-review process. A guide for authors and other relevant information for submission of manuscripts is available on the Instructions for Authors page. *Symmetry* is an international peer-reviewed open access monthly journal published by MDPI.

Please visit the Instructions for Authors page before submitting a manuscript. The Article Processing Charge (APC) for publication in this open access journal is 2400 CHF (Swiss Francs). Submitted papers should be well formatted and use good English. Authors may use MDPI's English editing service prior to publication or during author revisions.

## Keywords

- combinatorics
- discrete mathematics
- graph parameters
- topological graph indices
- regular graphs
- symmetry in graphs
- chemical applications of graph indices
- molecular graphs
- energy of graphs
- graph matrices
- matching
- domination
- independence number
- derived graphs
- extremal graphs
- applications of graphs
- chromatic graph theory
- graph polynomials
- labeling in graphs

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