Results 51 to 60 of about 131 (107)
The Spectrum Problem for the Connected Cubic Graphs of Order 10
Discussiones Mathematicae Graph Theory, 2021 We show that if G is a connected cubic graph of order 10, then there exists a G-decomposition of Kv if and only if v ≣ 1 or 10 (mod 15) except when v = 10 and G is one of 5 specific graphs.
Adams Peter +3 more
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Fast algorithms for determining (generalized) core groups in social networks
Core, Large network, Decomposition, Graph algorithm, 05A18, 05C70, 05C85, 05C90, 68R10, 68W40, 92H30, 92G30, 93A15,
Vladimir Batagelj, Matjaž Zaveršnik
core +1 more source
On Edge H-Irregularity Strengths of Some Graphs
Discussiones Mathematicae Graph Theory, 2021 For a graph G an edge-covering of G is a family of subgraphs H1, H2, . . . , Ht such that each edge of E(G) belongs to at least one of the subgraphs Hi, i = 1, 2, . . . , t. In this case we say that G admits an (H1, H2, . . . , Ht)-(edge) covering.
Naeem Muhammad +4 more
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The Minimum Size of a Graph with Given Tree Connectivity
Discussiones Mathematicae Graph Theory, 2021 For a graph G = (V, E) and a set S ⊆ V of at least two vertices, an S-tree is a such subgraph T of G that is a tree with S ⊆ V (T). Two S-trees T1 and T2 are said to be internally disjoint if E(T1) ∩ E(T2) = ∅ and V (T1) ∩ V (T2) = S, and edge-disjoint ...
Sun Yuefang, Sheng Bin, Jin Zemin
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On the validations of the asymptotic matching conjectures
, 2020 In this paper we review the asymptotic matching conjectures for rregular bipartite graphs, and their connections in estimating the monomerdimer entropies in d-dimensional integer lattice and Bethe lattices.
S Friedland +3 more
core
Sharp Upper Bounds on the Clar Number of Fullerene Graphs
Discussiones Mathematicae Graph Theory, 2018 The Clar number of a fullerene graph with n vertices is bounded above by ⌊n/6⌋ − 2 and this bound has been improved to ⌊n/6⌋ − 3 when n is congruent to 2 modulo 6.
Gao Yang, Zhang Heping
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Eigenvalues and Perfect Matchings [PDF]
AMS classification: 05C50, 05C70, 05E30.graph;perfect matching;Laplacian matrix;eigenvalues.
Brouwer, A.E., Haemers, W.H.
core
On the Independence Number of Traceable 2-Connected Claw-Free Graphs
Discussiones Mathematicae Graph Theory, 2019 A well-known theorem by Chvátal-Erdőos [A note on Hamilton circuits, Discrete Math. 2 (1972) 111–135] states that if the independence number of a graph G is at most its connectivity plus one, then G is traceable.
Wang Shipeng, Xiong Liming
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The 2-pebbling property of squares of paths and Graham’s conjecture
Open Mathematics, 2020 A pebbling move on a graph G consists of taking two pebbles off one vertex and placing one pebble on an adjacent vertex. The pebbling number of a connected graph G, denoted by f(G), is the least n such that any distribution of n pebbles on G allows one ...
Li Yueqing, Ye Yongsheng
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Packing Coloring of Some Undirected and Oriented Coronae Graphs
Discussiones Mathematicae Graph Theory, 2017 The packing chromatic number χρ(G) of a graph G is the smallest integer k such that its set of vertices V(G) can be partitioned into k disjoint subsets V1, . . . , Vk, in such a way that every two distinct vertices in Vi are at distance greater than i in
Laïche Daouya +2 more
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