Results 31 to 40 of about 131 (107)
Decomposing the Complete Graph Into Hamiltonian Paths (Cycles) and 3-Stars
Discussiones Mathematicae Graph Theory, 2020 Let H be a graph. A decomposition of H is a set of edge-disjoint subgraphs of H whose union is H. A Hamiltonian path (respectively, cycle) of H is a path (respectively, cycle) that contains every vertex of H exactly once.
Lee Hung-Chih, Chen Zhen-Chun
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Decomposing 10-Regular Graphs into Paths of Length 5
Discussiones Mathematicae Graph Theory, 2022 Let G be a 10-regular graph which does not contain any 4-cycles. In this paper, we prove that G can be decomposed into paths of length 5, such that every vertex is a terminal of exactly two paths.
Xie Mengmeng, Zhou Chuixiang
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Strong edge geodetic problem in networks
Open Mathematics, 2017 Geodesic covering problems form a widely researched topic in graph theory. One such problem is geodetic problem introduced by Harary et al. [Math. Comput. Modelling, 1993, 17, 89-95].
Manuel Paul +4 more
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Covering the Edges of a Random Hypergraph by Cliques
Discussiones Mathematicae Graph Theory, 2022 We determine the order of magnitude of the minimum clique cover of the edges of a binomial, r-uniform, random hypergraph G(r)(n, p), p fixed. In doing so, we combine the ideas from the proofs of the graph case (r = 2) in Frieze and Reed [Covering the ...
Rödl Vojtěch, Ruciński Andrzej
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Biclique Decompositions and Hermitian Rank [PDF]
, 1999 The Hermitian rank, h(A), of a Hermitian matrix A is defined and shown to equal maxfn+ (A); n \Gamma (A)g, the maximum of the numbers of positive and negative eigenvalues of A.
Valerie L. Watts +6 more
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On the Clean Graph of Commutative Artinian Rings
International Journal of Mathematics and Mathematical Sciences, Volume 2025, Issue 1, 2025.For a commutative Artinian ring R with unity, the clean graph Cl(R) is a graph with vertices in the form of an ordered pair (e, u), where e is an idempotent and u is a unit of ring R, respectively. Two distinct vertices (e, u) and (f, v) are adjacent in Cl(R) if and only if ef = fe = 0 or uv = vu = 1.
R. Singh +3 more
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International Journal of Mathematical Combinatorics, Vol.7 [PDF]
, 2013 The International J.Mathematical Combinatorics (ISSN 1937-1055) is a fully refereed international journal, sponsored by the MADIS of Chinese Academy of Sciences and published in USA quarterly comprising 460 pages approx.
Mao, Linfan (Editor-in-Chief)
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Packing Trees in Complete Bipartite Graphs
Discussiones Mathematicae Graph Theory, 2022 An embedding of a graph H in a graph G is an injection (i.e., a one-to-one function) σ from the vertices of H to the vertices of G such that σ(x)σ(y) is an edge of G for all edges xy of H. The image of H in G under σ is denoted by σ(H).
Wang Jieyan
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Graceful Labeling of some Join Graphs and the Subdivision of Complete Bipartite Graphs
Journal of Applied Mathematics, Volume 2025, Issue 1, 2025.The join of graphs G and H, denoted by G + H, is the graph obtained from the disjoint union of G and H by joining each vertex in G to each vertex in H. An edge uw is said to be subdivided if uw is replaced by the path P : uvw, where v is the new vertex.
A. Panpa +3 more
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Decomposition of the Product of Cycles Based on Degree Partition
Discussiones Mathematicae Graph Theory, 2019 The Cartesian product of n cycles is a 2n-regular, 2n-connected and bi- pancyclic graph. Let G be the Cartesian product of n even cycles and let 2n = n1+ n2+ ・ ・ ・ + nkwith k ≥ 2 and ni≥ 2 for each i. We prove that if k = 2, then G can be decomposed into
Borse Y. M., Shaikh S. R.
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