Results 21 to 30 of about 427 (72)
Existence of Regular Nut Graphs for Degree at Most 11
Discussiones Mathematicae Graph Theory, 2020 A nut graph is a singular graph with one-dimensional kernel and corresponding eigenvector with no zero elements. The problem of determining the orders n for which d-regular nut graphs exist was recently posed by Gauci, Pisanski and Sciriha.
Fowler Patrick W. +4 more
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The Minimum Size of Unextendible Product Bases in the Bipartite Case (and Some Multipartite Cases) [PDF]
, 2013 A long-standing open question asks for the minimum number of vectors needed to form an unextendible product basis in a given bipartite or multipartite Hilbert space. A partial solution was found by Alon and Lovasz in 2001, but since then only a few other
Chen, Jianxin, Johnston, Nathaniel
core +1 more source
Conditional resolvability in graphs: a survey
International Journal of Mathematics and Mathematical Sciences, Volume 2004, Issue 38, Page 1997-2017, 2004., 2004 For an ordered set W = {w1, w2, …, wk} of vertices and a vertex v in a connected graph G, the code of v with respect to W is the k‐vector cW(v) = (d(v, w1), d(v, w2), …, d(v, wk)), where d(x, y) represents the distance between the vertices x and y. The set W is a resolving set for G if distinct vertices of G have distinct codes with respect to W.
Varaporn Saenpholphat, Ping Zhang
wiley +1 more source
Computing the Mixed Metric Dimension of a Generalized Petersen Graph P(n, 2)
Frontiers in Physics, 2020 Let Γ = (V, E) be a connected graph. A vertex i ∈ V recognizes two elements (vertices or edges) j, k ∈ E ∩ V, if dΓ(i, j) ≠ dΓ(i, k). A set S of vertices in a connected graph Γ is a mixed metric generator for Γ if every two distinct elements (vertices or
Hassan Raza, Ying Ji
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A shorter proof of the distance energy of complete multipartite graphs
Special Matrices, 2017 Caporossi, Chasser and Furtula in [Les Cahiers du GERAD (2009) G-2009-64] conjectured that the distance energy of a complete multipartite graph of order n with r ≥ 2 parts, each of size at least 2, is equal to 4(n − r).
So Wasin
doaj +1 more source
The agreement distance of rooted phylogenetic networks [PDF]
Discrete Mathematics & Theoretical Computer Science, 2019 The minimal number of rooted subtree prune and regraft (rSPR) operations needed to transform one phylogenetic tree into another one induces a metric on phylogenetic trees - the rSPR-distance.
Jonathan Klawitter
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Molecular Properties of Symmetrical Networks Using Topological Polynomials
Open Chemistry, 2019 A numeric quantity that comprehend characteristics of molecular graph Γ of chemical compound is known as topological index. This number is, in fact, invariant with respect to symmetry properties of molecular graph Γ.
Wang Xing-Long +5 more
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Finite-dimensional Zinbiel algebras and combinatorial structures
Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2022 In this paper, we study the link between finite-dimensional Zinbiel algebras and combinatorial structures or (pseudo)digraphs determining which configurations are associated with those algebras.
Ceballos Manuel +2 more
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Topological Indices of Para-line Graphs of V-Phenylenic Nanostructures
Open Mathematics, 2019 The degree-based topological indices are numerical graph invariants which are used to correlate the physical and chemical properties of a molecule with its structure.
Nadeem Imran +3 more
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Laplacian energy and first Zagreb index of Laplacian integral graphs
Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2022 The set Si,n = {0, 1, 2, …, i − 1, i + 1, …, n − 1, n}, 1 ⩽ i ⩽ n, is called Laplacian realizable if there exists a simple connected undirected graph whose Laplacian spectrum is Si,n. The existence of such graphs was established by S. Fallat et all.
Hameed Abdul +2 more
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