Aromaticity of polycyclic conjugated hydrocarbons

M Randić - Chemical Reviews, 2003 - ACS Publications
3454 Chemical Reviews, 2003, Vol. 103, No. 9 Randic will show that graph theoretically
calculated ring resonance energies in benzenoid hydrocarbons (that parallel Clar's notion of …

Advancing Uncertain Combinatorics through Graphization, Hyperization, and Uncertainization: Fuzzy, Neutrosophic, Soft, Rough, and Beyond

T Fujita - arXiv preprint arXiv:2411.17411, 2024 - arxiv.org
To better handle real-world uncertainty, concepts such as fuzzy sets, neutrosophic sets,
rough sets, and soft sets have been introduced. For example, neutrosophic sets, which …

[PDF][PDF] Interval graphs and proper interval graphs in fuzzy and neutrosophic graphs

T Fujita - Preprint, July, 2024 - researchgate.net
Interval graphs represent vertices as intervals on the real line, with edges denoting
overlapping intervals, while proper interval graphs prevent one interval from being fully …

[PDF][PDF] On history of the Randić index and emerging hostility toward chemical graph theory

M Randić - MATCH Commun. Math. Comput. Chem, 2008 - match.pmf.kg.ac.rs
During 1974/75, after spending a year at Harvard as a faculty guest, I was visiting Tufts
University in Medford Massachusetts (a part of Boston area) where I came to consider the …

[图书][B] Configurations from a graphical viewpoint

T Pisanski, B Servatius - 2012 - books.google.com
Configurations can be studied from a graph-theoretical viewpoint via the so-called Levi
graphs and lie at the heart of graphs, groups, surfaces, and geometries, all of which are very …

[图书][B] Solved and unsolved problems of structural chemistry

M Randić, M Novič, D Plavšić - 2016 - igi-global.com
This book covers the basic aspects of mathematical chemistry involving chemical graph
theory, with special emphasis and reference to the work of Prof. Milan Randić. It presents the …

[HTML][HTML] Use of the Szeged index and the revised Szeged index for measuring network bipartivity

T Pisanski, M Randić - Discrete Applied Mathematics, 2010 - Elsevier
We have revisited the Szeged index (Sz) and the revised Szeged index (Sz∗), both of which
represent a generalization of the Wiener number to cyclic structures. Unexpectedly we found …

Nanoporous carbon allotropes by septupling map operations

MV Diudea - Journal of chemical information and modeling, 2005 - ACS Publications
Spongy carbon nanostructures, also called schwarzites, have been synthesized. They
consist of highly connected covalent networks, periodic in the three dimensions of Euclidean …

Generalized operations on maps

MV Diudea, M Stefu, PE John, A Graovac - Croatica chemica acta, 2006 - hrcak.srce.hr
Sažetak A map M is a combinatorial representation of a closed surface. Convex polyhedra,
starting from the Platonic solids and going to spherical fullerenes, can be operated to obtain …

[HTML][HTML] A classification of cubic bicirculants

T Pisanski - Discrete mathematics, 2007 - Elsevier
The well-known Petersen graph G (5, 2) admits a semi-regular automorphism α acting on
the vertex set with two orbits of equal size. This makes it a bicirculant. It is shown that …