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Mixed picture fuzzy graph [PDF]
A new form of picture fuzzy graph has been identified and introduced here as Mixed Picture Fuzzy Graph(MPFG). The picture fuzzy set is made up of the fuzzy set and the intuitionistic fuzzy set.
K.K. Myithili, C. Nandhini
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Hanna Furmanczyk +3 more
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Decompositions of the λ-Fold Complete Mixed Graph into Mixed 6-Stars
Graph and digraph decompositions are a fundamental part of design theory. Probably the best known decompositions are related to decomposing the complete graph into 3-cycles (which correspond to Steiner triple systems), and decomposing the complete ...
Robert Gardner, Kazeem Kosebinu
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Parameterized Mixed Graph Coloring [PDF]
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Damaschke, Peter,, Damaschke, Peter
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On the Upward Planarity of Mixed Plane Graphs [PDF]
Summary: A \textit{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 \textit{orientation} of a mixed plane graph \(G\) is an assignment of directions to the undirected edges of \(G\) resulting in a directed plane graph \(\vec{G}\).
Fabrizio Frati +4 more
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On the mixed adjacency matrix of a mixed graph
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Adiga, Chandrashekar +2 more
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MixedGraphinFuzzy,Neutrosophic, and Plithogenic Graphs [PDF]
Graph theory examines networks consisting of nodes (vertices) and the connections (edges) between them. Mixed graphs, which combine both undirected and directed edges, provide a versatile framework for representing relationships with symmetric and ...
Florentin Smarandache, Takaaki Fujita
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A Geometric Property of the Laplacian matrix of a Connected Nonsingular Mixed Graph
In this paper, we give a geometric interpretation of the Laplacian matrix of a connected nonsingular mixed graph which generalizes the results of M. Fiedler (M. Fiedler, Geometry of the Laplacian, Linear Algebra Appl., 2005, 403: 409–413).
Zheng-Da Zhou, Shi-Cai Gong
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On spectra of unitary Cayley mixed graph [PDF]
In this paper we introduce mixed unitary Cayley graph $M_{n}$ $(n>1)$ and compute its eigenvalues. We also compute the energy of $M_{n}$ for some $n$.
Chandrashekar Adiga +1 more
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Many of the phenomena around us are a combination of directed and undirected relationships between different subjects, which will be more complex despite the existence of multiple relationships between objects.
Xiaolong Shi +4 more
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