Results 51 to 60 of about 234 (95)

Hamiltonian and Pancyclic Graphs in the Class of Self-Centered Graphs with Radius Two

open access: yesDiscussiones Mathematicae Graph Theory, 2018
The paper deals with Hamiltonian and pancyclic graphs in the class of all self-centered graphs of radius 2. For both of the two considered classes of graphs we have done the following. For a given number n of vertices, we have found an upper bound of the
Hrnčiar Pavel, Monoszová Gabriela
doaj   +1 more source

An extremal problem on potentially K p,1,1-graphic sequences

open access: yesDiscrete Mathematics & Theoretical Computer Science, 2005
A sequence S is potentially K p,1,1 graphical if it has a realization containing a K p,1,1 as a subgraph, where K p,1,1 is a complete 3-partite graph with partition sizes p,1,1.
Chunhui Lai
doaj  

Rainbow Total-Coloring of Complementary Graphs and Erdős-Gallai Type Problem For The Rainbow Total-Connection Number

open access: yesDiscussiones Mathematicae Graph Theory, 2018
A total-colored graph G is rainbow total-connected if any two vertices of G are connected by a path whose edges and internal vertices have distinct colors.
Sun Yuefang, Jin Zemin, Tu Jianhua
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The Edit Distance Function of Some Graphs

open access: yesDiscussiones Mathematicae Graph Theory, 2020
The edit distance function of a hereditary property 𝒣 is the asymptotically largest edit distance between a graph of density p ∈ [0, 1] and 𝒣. Denote by Pn and Cn the path graph of order n and the cycle graph of order n, respectively. Let C2n*C_{2n}^* be
Hu Yumei, Shi Yongtang, Wei Yarong
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A survey of the maximal and the minimal nullity in terms of omega invariant on graphs

open access: yesActa Universitatis Sapientiae: Mathematica, 2023
Let G = (V, E) be a simple graph with n vertices and m edges. ν(G) and c(G) = m − n + θ be the matching number and cyclomatic number of G, where θ is the number of connected components of G, respectively.
Oz Mert Sinan, Cangul Ismail Naci
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On the maximal Aa -index of graphs with a prescribed number of edges

open access: yesSpecial Matrices
For any real number α∈[0,1]\alpha \in \left[\mathrm{0,1}], by the Aα{A}_{\alpha }-matrix of a graph GG, we mean the matrix Aα(G)=αD(G)+(1−α)A(G){A}_{\alpha }\left(G)=\alpha D\left(G)+\left(1-\alpha )A\left(G), where A(G)A\left(G) and D(G)D\left(G) are ...
Chang Ting-Chung, Tam Bit-Shun
doaj   +1 more source

The optimal pebbling of spindle graphs

open access: yesOpen Mathematics, 2019
Given a distribution of pebbles on the vertices of a connected graph G, a pebbling move on G consists of taking two pebbles off one vertex and placing one on an adjacent vertex. The optimal pebbling number of G, denoted by πopt(G), is the smallest number
Gao Ze-Tu, Yin Jian-Hua
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A Parametric Network Approach for Concepts Hierarchy Generation in Text Corpus

open access: yesAnalele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2016
The article presents a preflow approach for the parametric maximum flow problem, derived from the rules of constructing concepts hierarchy in text corpus.
Sângeorzan L. S.   +2 more
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More on the Rainbow Disconnection in Graphs

open access: yesDiscussiones Mathematicae Graph Theory, 2022
Let G be a nontrivial edge-colored connected graph. An edge-cut R of G is called a rainbow-cut if no two of its edges are colored the same. An edge-colored graph G is rainbow disconnected if for every two vertices u and v of G, there exists a u-v-rainbow-
Bai Xuqing   +3 more
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Rainbow Vertex-Connection and Forbidden Subgraphs

open access: yesDiscussiones Mathematicae Graph Theory, 2018
A path in a vertex-colored graph is called vertex-rainbow if its internal vertices have pairwise distinct colors. A vertex-colored graph G is rainbow vertex-connected if for any two distinct vertices of G, there is a vertex-rainbow path connecting them ...
Li Wenjing, Li Xueliang, Zhang Jingshu
doaj   +1 more source

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