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𝕮-inverse of graphs and mixed graphs

Open Mathematics
This article introduces a generalization of the concept of inverse graphs applicable to both graphs and mixed graphs. Given a graph GG with adjacency matrix A(G)A\left(G), the inverse graph G−1{G}^{-1} is defined such that its adjacency matrix is similar
Alomari Omar, Abudayah Mohammad, Ghanem Manal   +2 more
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Exploring Ways to Improve Elementary School Statistics Education Through Analysis of Middle School Social Studies Textbooks: Focusing on Statistical Graph Teaching

Journal of Educational Research in Mathematics, 2020
In this study, in order to explore ways that statistical graphs teaching in elementary mathematics education can be improved, first, the types of statistical graphs that appear in middle school social textbooks were examined, and second, the ...
Byungjoo Tak, Eun-Sung Ko
doaj   +1 more source

Research and Application of Hypernetwork Energy

Jisuanji kexue yu tansuo, 2021
Graph energy plays an important role in research of graph theory. Graph energy and many other similar variants have been applied in many other types of graphs, e.g., undirected graphs, oriented graphs, mixed graphs, and so on.
LIU Shengjiu, LI Tianrui, LIU Jia, XIE Peng
doaj   +1 more source

Best Graph Type to Compare Discrete Groups: Bar, Dot, and Tally

Frontiers in Psychology, 2021
Different graph types might differ in group comparison due to differences in underlying graph schemas. Thus, this study examined whether graph schemas are based on perceptual features (i.e., each graph has a specific schema) or common invariant ...
Fang Zhao, Robert Gaschler
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An Approach for Mixed Upward Planarization

Journal of Graph Algorithms and Applications, 2003
In this paper, we consider the problem of finding a mixed upward planarization of a mixed graph, i.e., a graph with directed and undirected edges. The problem is a generalization of the planarization problem for undirected graphs and is motivated by ...
Markus Eiglsperger, Michael Kaufmann, Frank Eppinger   +2 more
doaj   +1 more source

On the Upward Planarity of Mixed Plane Graphs

Journal of Graph Algorithms and Applications, 2014
A mixed plane graph is a plane graph whose edge set is partitioned into a set of directed edges and a set of undirected edges. An orientation of a mixed plane graph G is an assignment of directions to the undirected edges of G resulting in a directed ...
Fabrizio Frati, Michael Kaufmann, János Pach, Csaba Tóth, David Wood   +4 more
doaj   +1 more source

On Mixed Metric Dimension of Rotationally Symmetric Graphs

IEEE Access, 2020
A vertex u ∈ V(G) resolves (distinguish or recognize) two elements (vertices or edges) v, w ∈ E(G)UV(G) if dG(u, v) ≠ dG(u, w) . A subset Lm of vertices in a connected graph G is called a mixed metric generator for G if every two ...
Hassan Raza, Jia-Bao Liu, Shaojian Qu
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A Concise Study of Some Superhypergraph classes [PDF]

Neutrosophic Sets and Systems
In graph theory, the hypergraph extends the traditional graph structure by allowing edges to connect multiple vertices, and this concept is further broadened by the superhypergraph.
Florentin Smarandache, Takaaki Fujita
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m-step inverse fuzzy mixed competition graphs

International Journal of Mathematics for Industry
The notion of competition graphs has a wide range of applications and has been utilized in designing various ecological problems and real-world competitions.
Rahul Mondal, Ganesh Ghorai
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γ-Inverse graph of some mixed graphs

Special Matrices
Let GG be a graph. Then, the inverse graph G−1{G}^{-1} of GG is defined to be a graph that has adjacency matrix similar to the inverse of the adjacency matrix of GG, where the similarity matrix is ±1\pm 1 diagonal matrix. In this article, we introduced a
Boulahmar Wafa, Ghanem Manal, Abudayah Mohammad   +2 more
doaj   +1 more source