Results 1 to 10 of about 629,769 (266)
Conditional Matching Preclusion Number of Graphs
The conditional matching preclusion number of a graph G, denoted by mp1G, is the minimum number of edges whose deletion results in the graph with no isolated vertices that has neither perfect matching nor almost-perfect matching.
Yalan Li, Shumin Zhang, Chengfu Ye
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The matching number and Hamiltonicity of graphs [PDF]
The matching number of a graph G is the size of a maximum matching in the graph. In this note, we present a sufficient condition involving the matching number for the Hamiltonicity of graphs.
Rao Li
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CNpare: matching DNA copy number profiles [PDF]
AbstractSelecting the optimal cancer cell line for an experiment can be challenging given the diversity of lines available. Cell lines are often chosen based on their tissue of origin, however, the results of large-scale pan-cancer studies suggest that matching lines based on molecular features may be more appropriate. Existing approaches are available
Blas Chaves-Urbano +3 more
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Discontinuity and diversity of Persian scientific research journals in the field of educational sciences by using coloring and mathematical algebraic parameters [PDF]
The aim of the current research is to study and compare graphs authorship by Iranian researchers in Persian scientific research journals in the field of educational sciences by using algebraic parameters of mathematics. In this research, the data related
Ali Abdi, Mostafa Amini
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A two-mode network is a type of network in which nodes can be divided into two sets in such a way that links can be established between different types of nodes. The relationship between two separate sets of entities can be modeled as a bipartite network.
Ali Al Khabyah +4 more
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Bounds on the Minimum Edge Dominating Energy in Terms of Some Parameters of a Graph [PDF]
The minimum edge dominating energy, denoted by $EE_{F}(G)$, is the sum of the absolute values of eigenvalues of the minimum edge dominating matrix of graph $G$.
Fateme Movahedi
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Extremal Graphs for Sombor Index with Given Parameters
In this paper, we present the upper and lower bounds on Sombor index SO(G) among all connected graphs (respectively, connected bipartite graphs). We give some sharp lower and upper bounds on SO(G) among connected graphs in terms of some parameters ...
Wanping Zhang, Jixiang Meng, Na Wang
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A note on the size Ramsey numbers for matchings versus cycles [PDF]
For graphs $G$, $F_1$, $F_2$, we write $G \rightarrow(F_1, F_2)$ if for every red-blue colouring of the edge set of $G$ we have a red copy of $F_1$ or a blue copy of $F_2$ in $G$.
Edy Tri Baskoro, Tomáš Vetrík
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New Results Relating Independence and Matchings
In this paper we study relationships between the matching number, written µ(G), and the independence number, written α(G).
Caro Yair, Davila Randy, Pepper Ryan
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Matching Numbers and Dimension of Edge Ideals [PDF]
Let $G$ be a finite simple graph on the vertex set $V(G) = \{x_{1}, \ldots, x_{n}\}$ and match$(G)$, min-match$(G)$ and ind-match$(G)$ the matching number, minimum matching number and induced matching number of $G$, respectively. Let $K[V(G)] = K[x_{1}, \ldots, x_{n}]$ denote the polynomial ring over a field $K$ and $I(G) \subset K[V(G)]$ the edge ...
Hirano, Ayana, Matsuda, Kazunori
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