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The integer-antimagic spectra of Hamiltonian graphs
Published 2021-10-01Subjects: “…hamiltonian graphs, graph labeling, group-antimagic labeling…”
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On the Integer-antimagic Spectra of Non-Hamiltonian Graphs
Published 2022-07-01Subjects: Get full text
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Bounds for the Independence Number in $k$-Step Hamiltonian Graphs
Published 2018-05-01Subjects: Get full text
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On the H-Force Number of Hamiltonian Graphs and Cycle Extendability
Published 2017-02-01Subjects: Get full text
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Nested Locally Hamiltonian Graphs and the Oberly-Sumner Conjecture
Published 2022-11-01“…The class of locally k-nested-hamiltonian graphs contains important subclasses. For example, Skupień had already observed in 1963 that the class of connected LH graphs (which is the class of locally 1-nested-hamiltonian graphs) contains all triangulations of closed surfaces. …”
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Edge-maximal -free non-bipartite Hamiltonian graphs of odd order
Published 2022-09-01“…AbstractLet [Formula: see text] denote the class of non-bipartite graphs on n vertices containing no [Formula: see text]-graph and [Formula: see text] Let [Formula: see text] denote the class of non-bipartite Hamiltonian graphs on n vertices containing no [Formula: see text]-graph and [Formula: see text] In this paper we determine [Formula: see text] by proving that for sufficiently large odd n, [Formula: see text] Furthermore, the bound is best possible. …”
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Hybrid Algorithm of Sparrow Algorithm and Arithmetic Optimization Algorithm Based on Hamiltonian Graph
Published 2023-07-01Subjects: “…sparrow search algorithm (ssa); arithmetic optimization algorithm (aoa); hamiltonian graph; modified cycle algorithm…”
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Hyper-Hamiltonian circulants
Published 2021-04-01Subjects: “…hyper-hamiltonian graph, hamilton cycle, circulant, hamiltonian graph…”
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When the Cartesian product of directed cycles is hyper-Hamiltonian
Published 2021-12-01Subjects: “…hyper-hamiltonian graph…”
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Network Evolution: Bugs, Superbugs, and Graph Infections
Published 2023-10-01Subjects: “…hamiltonian graphs…”
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On a problem of Lesniak, Polimeni, and Vanderjagt
Published 2006-01-01Subjects: Get full text
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Some Characteristics of the Prime Graph of Integer Modulo Groups
Published 2023-06-01Subjects: Get full text
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The clique number and some Hamiltonian properties of graphs
Published 2021-08-01Subjects: Get full text
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Enforced hamiltonian cycles in generalized dodecahedra
Published 2013-11-01Subjects: “…hamiltonian graph, h-force number, generalized dodecahedron…”
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On the traversability of near common neighborhood graph of a graph
Published 2021-12-01Subjects: Get full text
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Power graphs: A survey
Published 2013-11-01Subjects: “…power graphs, eulerian and hamiltonian graphs, connectivity…”
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