Results 11 to 20 of about 8,902 (235)
Vertex maps on graphs – Perron–Frobenius theory [PDF]
Journal of Difference Equations and Applications, 2015 The goal of this paper is to describe the connections between Perron-Frobenius theory and vertex maps on graphs. In particular, it is shown how Perron-Frobenius theory gives results about the sets of integers that can arise as periods of periodic orbits, about the concepts of transitivity and topological mixing, and about horseshoes and topological ...
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Some topological indices of pentagonal double chains [PDF]
ITM Web of Conferences, 2022 In graph theory, lattices are used when some structural part of the graph repeats itself finitely or infinitely many times. They have applications in complex analysis and geometry in mathematics, and also natural applications in chemical graph theory. As
Mahalank Pushpalatha +4 more
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Strong parity vertex coloring of plane graphs [PDF]
Discrete Mathematics & Theoretical Computer Science, 2014 A strong parity vertex coloring of a 2-connected plane graph is a coloring of the vertices such that every face is incident with zero or an odd number of vertices of each color.
Tomas Kaiser +3 more
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Removing Symmetry in Circulant Graphs and Point-Block Incidence Graphs
Mathematics, 2021 An automorphism of a graph is a mapping of the vertices onto themselves such that connections between respective edges are preserved. A vertex v in a graph G is fixed if it is mapped to itself under every automorphism of G. The fixing number of a graph G
Josephine Brooks +5 more
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Connectivity Analysis of Cyclically Balanced Fuzzy Graphs
Fuzzy Information and Engineering, 2015 The concepts of connectivity and cycle connectivity play an important role in fuzzy graph theory. In this article, cyclic cutvertices, cyclic bridges and cyclically balanced fuzzy graphs are discussed.
N. Jicy, Sunil Mathew
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On Degree-Based Topological Indices of Petersen Subdivision Graph
European Journal of Mathematical Analysis, 2023 In this paper, we adequately describe the generalised petersen graph, expanding to the categories of graphs. We created a petersen graph, which is cyclic and has vertices that are arranged in the centre and nine gons plus one vertex, leading to the ...
Mukhtar Ahmad +5 more
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Computation of Resolvability Parameters for Benzenoid Hammer Graph
Journal of Mathematics, 2022 A representation of each vertex of a network into distance-based arbitrary tuple form, adding the condition of uniqueness of each vertex with reference to some settled vertices. Such settled vertices form a set known as resolving set.
Ali Ahmad, Al-Nashri Al-Hossain Ahmad
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On Divided-Type Connectivity of Graphs
Entropy, 2023 The graph connectivity is a fundamental concept in graph theory. In particular, it plays a vital role in applications related to the modern interconnection graphs, e.g., it can be used to measure the vulnerability of the corresponding graph, and is an ...
Qiao Zhou, Xiaomin Wang, Bing Yao
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Connectivity Index in Vague Graphs with Application in Construction
Discrete Dynamics in Nature and Society, 2022 The vague graph (VG), which has recently gained a place in the family of fuzzy graph (FG), has shown good capabilities in the face of problems that cannot be expressed by fuzzy graphs and interval-valued fuzzy graphs. Connectivity index (CI) in graphs is
Huiqin Jiang, Yongsheng Rao
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On vertex and edge degree-based topological indices
Vojnotehnički Glasnik, 2023 Introduction/purpose: The entire topological indices (T Ient) are a class of graph invariants depending on the degrees of vertices and edges. Some general properties of these invariants are established.
Ivan Gutman
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