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Determining Graphs by the Complementary Spectrum
Discussiones Mathematicae Graph Theory, 2020 The complementary spectrum of a connected graph G is the set of the complementary eigenvalues of the adjacency matrix of G. In this note, we discuss the possibility of representing G using this spectrum.
Pinheiro Lucélia K. +2 more
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Restrained Domination in Self-Complementary Graphs
Discussiones Mathematicae Graph Theory, 2021 A self-complementary graph is a graph isomorphic to its complement. A set S of vertices in a graph G is a restrained dominating set if every vertex in V(G) \ S is adjacent to a vertex in S and to a vertex in V(G) \ S.
Desormeaux Wyatt J. +2 more
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Local coloring of self complementary graphs
AKCE International Journal of Graphs and Combinatorics, 2017 Let be a graph. A local coloring of a graph of order at least 2 is a function having the property that for each set with , there exist vertices such that , where is the size of the induced subgraph .
P. Deepa +2 more
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A Multimodal Representation Learning Framework for Molecular Graph and NMR Spectrum Alignment [PDF]
EntropyAccurate matching between molecular structures and NMR spectra is an important task in automated structure elucidation. However, existing methods still face difficulties in jointly modeling multi-scale molecular topology and effectively exploiting the ...
Xiao Li +4 more
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Certain classes of complementary equienergetic graphs [PDF]
Transactions on Combinatorics, 2022 The energy of a graph is the sum of the absolute values of the eigenvalues of a graph. Two graphs are said to be equienergetic if they have same energy.
Harishchandra Ramane +2 more
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Local Antisymmetric Connectedness in Asymmetrically Normed Real Vector Spaces
Universal Journal of Mathematics and Applications, 2023 In this paper, some properties of locally antisymmetrically connected spaces which are the localized version of the antisymmetrically connected $T_0$-quasi-metric spaces constructed as the natural counterparts of connected complementary graphs, are ...
Nezakat Javanshır, Filiz Yıldız
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The Spectrum of Weighted Lexicographic Product on Self-Complementary Graphs
IEEE Access, 2023 The lexicographic product, a powerful binary operation in graph theory, offers methods for creating a novel graph by establishing connections between each vertex of one graph and every vertex of another.
Xiaoxiao Zhang, Zenghui Fang
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On graphs with α- and b-edge consecutive edge magic labelings
Indonesian Journal of Combinatorics, 2022 Among the most studied graph labelings we have the varieties called alpha and edge-magic. Even when their definitions seem completely different, these labelings are related.
Christian Barrientos
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Exploration of CPCD number for power graph
مجلة بغداد للعلوم, 2023 Recently, complementary perfect corona domination in graphs was introduced. A dominating set S of a graph G is said to be a complementary perfect corona dominating set (CPCD – set) if each vertex in is either a pendent vertex or a support vertex and ...
S. Anuthiya, G. Mahadevan, C. Sivagnanam
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Equienergetic self-complementary graphs [PDF]
Czechoslovak Mathematical Journal, 2008 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Indulal, G., Vijayakumar, A.
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