Results 31 to 40 of about 120,514 (220)
On the multipacking number of grid graphs [PDF]
Discrete Mathematics & Theoretical Computer Science, 2019 In 2001, Erwin introduced broadcast domination in graphs. It is a variant of classical domination where selected vertices may have different domination powers. The minimum cost of a dominating broadcast in a graph $G$ is denoted $\gamma_b(G)$.
Laurent Beaudou, Richard C. Brewster
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Forbidden subgraphs in reduced power graphs of finite groups
AIMS Mathematics, 2021 Let G be a finite group. The reduced power graph of G is the undirected graph whose vertex set consists of all elements of G, and two distinct vertices x and y are adjacent if either ⟨x⟩⊂⟨y⟩ or ⟨y⟩⊂⟨x⟩. In this paper, we show that the reduced power graph
Huani Li , Ruiqin Fu, Xuanlong Ma
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Graph Decompositions and Factorizing Permutations [PDF]
Discrete Mathematics & Theoretical Computer Science, 2002 A factorizing permutation of a given graph is simply a permutation of the vertices in which all decomposition sets appear to be factors. Such a concept seems to play a central role in recent papers dealing with graph decomposition. It is applied here for
Christian Capelle +2 more
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Computing Minimum Rainbow and Strong Rainbow Colorings of Block Graphs [PDF]
Discrete Mathematics & Theoretical Computer Science, 2018 A path in an edge-colored graph $G$ is rainbow if no two edges of it are colored the same. The graph $G$ is rainbow-connected if there is a rainbow path between every pair of vertices.
Melissa Keranen, Juho Lauri
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Decycling a graph by the removal of a matching: new algorithmic and structural aspects in some classes of graphs [PDF]
Discrete Mathematics & Theoretical Computer Science, 2018 A graph $G$ is {\em matching-decyclable} if it has a matching $M$ such that $G-M$ is acyclic. Deciding whether $G$ is matching-decyclable is an NP-complete problem even if $G$ is 2-connected, planar, and subcubic.
Fábio Protti, Uéverton S. Souza
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On the shelling antimatroids of split graphs [PDF]
Discrete Mathematics & Theoretical Computer Science, 2017 Chordal graph shelling antimatroids have received little attention with regard to their combinatorial properties and related optimization problems, as compared to the case of poset shelling antimatroids.
Jean Cardinal +2 more
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Cohen-Macaulay weighted chordal graphs [PDF]
arXiv, 2023 In this paper I give a combinatorial characterization of all the Cohen-Macaulay weighted chordal graphs. In particular, it is shown that a weighted chordal graph is Cohen- Macaulay if and only if it is unmixed.
arxiv
Advanced Engineering Materials, EarlyView.This study examines the mechanical properties of triply periodic minimal surfaces (TPMS)‐based lattices, analyzing 36 architectures in elastic and plastic regimes. It evaluates the applicability of beam‐based scaling laws to TPMS lattices. Rigidity arises from the alignment of members with the load direction and solid regions preventing rotation.
Lucía Doyle +2 more
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On an edge partition and root graphs of some classes of line graphs
Electronic Journal of Graph Theory and Applications, 2017 The Gallai and the anti-Gallai graphs of a graph $G$ are complementary pairs of spanning subgraphs of the line graph of $G$. In this paper we find some structural relations between these graph classes by finding a partition of the edge set of the line ...
K Pravas, A. Vijayakumar
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Complement of the generalized total graph of fields
AKCE International Journal of Graphs and Combinatorics, 2020 Let R be a commutative ring and H be a multiplicative prime subset of R. The generalized total graph is the undirected simple graph with vertex set R and two distinct vertices x and y are adjacent if For a field F, is the only multiplicative prime subset
T. Tamizh Chelvam, M. Balamurugan
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