Results 11 to 20 of about 413 (110)
The topology of fullerenes. [PDF]
Wiley Interdiscip Rev Comput Mol Sci, 2015 Fullerenes are carbon molecules that form polyhedral cages. Their bond structures are exactly the planar cubic graphs that have only pentagon and hexagon faces.
Schwerdtfeger P, Wirz LN, Avery J.
europepmc +3 more sources
Extension of Non‐alternant Nanographenes Containing Nitrogen‐Doped Stone‐Thrower‐Wales Defects
Angewandte Chemie, Volume 135, Issue 35, August 28, 2023., 2023 Saddle‐shaped nanographenes containing N‐doped Stone‐Thrower‐Wales topological defects have been synthesized that possess much narrower energy gaps than similar‐sized N‐doped nanographenes with six‐membered rings. This work indicates that the introduction of non‐alternant topologies is an efficient way to narrow the energy gap without extending the ...
Chang Wang +3 more
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, 2020 Daisy graphs of a rooted graph $G$ with the root $r$ were recently introduced as a generalization of daisy cubes, a class of isometric subgraphs of hypercubes. In this paper we first solve the problem posed in \cite{Taranenko2020} and characterize rooted
Gologranc, Tanja, Taranenko, Andrej
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COMs: Complexes of Oriented Matroids [PDF]
, 2017 In his seminal 1983 paper, Jim Lawrence introduced lopsided sets and featured them as asymmetric counterparts of oriented matroids, both sharing the key property of strong elimination.
Bandelt, Hans-Juergen +2 more
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Perfect Matchings in Random Octagonal Chain Graphs
Journal of Mathematics, Volume 2021, Issue 1, 2021., 2021 A perfect matching of a (molecule) graph G is a set of independent edges covering all vertices in G. In this paper, we establish a simple formula for the expected value of the number of perfect matchings in random octagonal chain graphs and present the asymptotic behavior of the expectation.
Shouliu Wei +5 more
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Edge Metric Dimension of Some Classes of Toeplitz Networks
Journal of Mathematics, Volume 2021, Issue 1, 2021., 2021 Toeplitz networks are used as interconnection networks due to their smaller diameter, symmetry, simpler routing, high connectivity, and reliability. The edge metric dimension of a network is recently introduced, and its applications can be seen in several areas including robot navigation, intelligent systems, network designing, and image processing ...
Dalal Alrowaili +5 more
wiley +1 more source
Chirality in curved polyaromatic systems [PDF]
, 2017 Carbon allotropes constituted of sp(2)-hybridised carbon atoms display a variety of properties that arise from their delocalised Pi-conjugated electronic structure.
Juricek, Michal +2 more
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[Retracted] On the Edge Metric Dimension of Certain Polyphenyl Chains
Journal of Chemistry, Volume 2021, Issue 1, 2021., 2021 The most productive application of graph theory in chemistry is the representation of molecules by the graphs, where vertices and edges of graphs are the atoms and valence bonds between a pair of atoms, respectively. For a vertex w and an edge f = c1c2 of a connected graph G, the minimum number from distances of w with c1 and c2 is called the distance ...
Muhammad Ahsan +6 more
wiley +1 more source
Polyominoes with nearly convex columns: An undirected model [PDF]
, 2009 Column-convex polyominoes were introduced in 1950's by Temperley, a mathematical physicist working on "lattice gases". By now, column-convex polyominoes are a popular and well-understood model.
Feretic, Svjetlan, Guttmann, Anthony J.
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Isometric Embeddings in Trees and Their Use in Distance Problems [PDF]
, 2021 International audienceWe present powerful techniques for computing the diameter, all the eccentricities, and other related distance problems on some geometric graph classes, by exploiting their "tree-likeness" properties.
Ducoffe, Guillaume
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