Search Results - "Ma, Yingbin"
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(Strong) Total proper connection of some digraphs
Published in Journal of combinatorial optimization (01-07-2021)“…The total proper connection number of a given digraph D , represented by tpc → ( D ) , denotes the smallest number of colors needed for making D total proper…”
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Some results on the total proper k-connection number
Published in Open mathematics (Warsaw, Poland) (08-04-2022)“…In this paper, we first investigate the total proper connection number of a graph according to some constraints of . Next, we investigate the total proper…”
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Some Results on the 3-Vertex-Rainbow Index of a Graph
Published in Bulletin of the Malaysian Mathematical Sciences Society (01-03-2021)“…Let G be a nontrivial connected graph with a vertex-coloring c : V ( G ) → { 1 , 2 , … , q } , q ∈ N . For a set S ⊆ V ( G ) and | S | ≥ 2 , a subtree T of G…”
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(Strong) Proper Connection in Some Digraphs
Published in IEEE access (2019)“…An arc-colored digraph <inline-formula> <tex-math notation="LaTeX">D </tex-math></inline-formula> is proper connected if any pair of vertices <inline-formula>…”
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Graphs with Strong Proper Connection Numbers and Large Cliques
Published in Axioms (01-04-2023)“…In this paper, we mainly investigate graphs with a small (strong) proper connection number and a large clique number. First, we discuss the (strong) proper…”
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Total Rainbow Connection Number of Some Graph Operations
Published in Axioms (26-05-2022)“…In a graph H with a total coloring, a path Q is a total rainbow if all elements in V(Q)∪E(Q), except for its end vertices, are assigned different colors. The…”
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The Vertex-Rainbow Connection Number of Some Graph Operations
Published in Discussiones Mathematicae. Graph Theory (01-05-2021)“…A path in an edge-colored (respectively vertex-colored) graph is (respectively ) if no two edges (respectively internal vertices) of the path are colored the…”
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Disjoint hypercyclicity equals disjoint supercyclicity for families of Taylor-type operators
Published in Open mathematics (Warsaw, Poland) (07-06-2018)“…We characterize disjointness of supercyclic operators which map a holomorphic function to a partial sum of the Taylor expansion. In particular, we show that…”
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Hardness Results for Total Rainbow Connection of Graphs
Published in Discussiones Mathematicae. Graph Theory (01-05-2016)“…A total-colored path is total rainbow if both its edges and internal vertices have distinct colors. The total rainbow connection number of a connected graph G,…”
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Graphs with vertex rainbow connection number two
Published in Science China. Mathematics (01-08-2015)“…An edge colored graph G is rainbow connected if any two vertices are connected by a path whose edges have distinct colors. The rainbow connection number of a…”
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Graphs with (strong) proper connection numbers m−3 and m−4
Published in Applied mathematics and computation (15-05-2023)“…•Characterize all graphs with strong proper connection number m−3.•Present all graphs satisfying proper connection number or strong proper connection number…”
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Some results on the 3‐total‐rainbow index
Published in Applied mathematics and computation (15-08-2022)“…•Determine the 3-total-rainbow index of Cn.•Investigate the 3-total-rainbow index of unicyclic graphs.•Provide a sharp upper bound for the 3-total-rainbow…”
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Rainbow connection numbers of Cayley digraphs on abelian groups
Published in Applied mathematics and computation (15-10-2017)“…A directed path in an edge colored digraph is said to be a rainbow path if no two edges on this path share the same color. An edge colored digraph Γ is rainbow…”
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Total Rainbow Connection Number and Complementary Graph
Published in Resultate der Mathematik (01-09-2016)“…A vertex-colored graph G is rainbow vertex connected if any two distinct vertices are connected by a path whose internal vertices have distinct colors. The…”
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Rainbow connection number and graph operations
Published in Discrete Applied Mathematics (30-10-2017)“…A path in an edge-colored graph G is rainbow if no two edges of the path are colored the same. An edge-colored graph G is rainbow connected if every two…”
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(Strong) Proper vertex connection of some digraphs
Published in Applied mathematics and computation (01-12-2023)“…The (strong) proper vertex connection number spvc→(Γ), (s)pvc-number for short, is denoted as the smallest cardinality of colors required to color the digraph…”
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Some results on (strong) total proper connection number of some digraphs
Published in Discrete Applied Mathematics (15-12-2024)“…In this paper, we present the total proper connection number of strong k-quasi-transitive digraphs with diam(D)≥k+2 for even k. Next, we determine the exact…”
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Rainbow connection numbers of Cayley graphs
Published in Journal of combinatorial optimization (01-07-2017)“…An edge colored graph is rainbow connected if any two vertices are connected by a path whose edges have distinct colors. The rainbow connection number, rc…”
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The generalized 3-connectivity of graph products
Published in Applied mathematics and computation (15-02-2017)“…The generalized k-connectivity κk(G) of a graph G, which was introduced by Chartrand et al. (1984), is a generalization of the concept of vertex connectivity…”
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Graphs with small total rainbow connection number
Published in Frontiers of mathematics in China (01-08-2017)“…Abstract A total-colored path is total rainbow if its edges and internal vertices have distinct colors. A total-colored graph G is total rainbow connected if…”
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