Topological Indices and Symmetry in Complex Networks II
A special issue of Symmetry (ISSN 2073-8994). This special issue belongs to the section "Mathematics".
Deadline for manuscript submissions: closed (31 October 2023) | Viewed by 350
Special Issue Editors
Interests: graph theory; network optimization
Special Issues, Collections and Topics in MDPI journals
Interests: graph theory; subgraph structure
Special Issues, Collections and Topics in MDPI journals
Special Issue Information
Dear Colleagues,
Topological graph indices, also called molecular descriptors, are numerical parameters of a graph that are invariant under graph isomorphisms. They play a significant role in chemistry, pharmacology, and physics, especially in the quantitative structure–property relationship (QSPR) and the quantitative structure–activity relationship (QSAR) investigations. Perhaps the best known and most widely used topological index is the Wiener index, which is based on the topological distance of vertices in the respective graph. It was introduced and used by Harold Wiener in 1947, which helped him to compare the boiling points of some alkane isomers.
Nowadays, there are numerous topological indices (over 3000 topological graph indices are registered in Chemical Data Bases), which can be classified by the structural properties of the graphs used for their calculation. This research area is studied by mathematicians and chemists, and a series of mathematical properties and applications have been intensively studied over the last six decades. As such, topological graph indices are researched worldwide.
Symmetry is a universe phenomenon in complex systems and applies the conservation lawsof nature. Many real networks have been found to have a rich degree of symmetry, which is a universal structural property of complex networks, yet have rarely been studied so far. Symmetry finds numerous applications in transportation, in communication network design, in production and inventory planning, in facility location and allocation, and in VLSI design. Many topological graph indices are metric indices for networks, which have extensive applications in centrality of networks, randomized algorithms, connectivity and robustness of networks, symmetry of networks and so on.
The aim of this Special Issue is to solicit original research articles focusing on topological graph indices and exploration of the origin of symmetry in real networks. We highly encourage submissions from researchers in the field of graph theory and complex networks. Review articles discussing the state of the art are also welcome.
Prof. Dr. Guifu Su
Dr. Junfeng Du
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
- topological graph indices
- spectral graph theory
- graph parameters
- combinatorics
- complex networks
- network optimization
- network reliability
- potential topics include but are not limited to those mentioned previously
