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Mixed Graph Colorings: A Historical Review
Mathematics, 2020 This paper presents a historical review and recent developments in mixed graph colorings in the light of scheduling problems with the makespan criterion. A mixed graph contains both a set of arcs and a set of edges. Two types of colorings of the vertices
Yuri N. Sotskov
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Total mixed domination in graphs
AKCE International Journal of Graphs and Combinatorics, 2022 For a graph [Formula: see text] we call a subset [Formula: see text] a total mixed dominating set of G if each element of [Formula: see text] is either adjacent or incident to an element of S, and the total mixed domination number of G is the minimum ...
Adel P. Kazemi +2 more
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Computing the Mixed Metric Dimension of a Generalized Petersen Graph P(n, 2)
Frontiers in Physics, 2020 Let Γ = (V, E) be a connected graph. A vertex i ∈ V recognizes two elements (vertices or edges) j, k ∈ E ∩ V, if dΓ(i, j) ≠ dΓ(i, k). A set S of vertices in a connected graph Γ is a mixed metric generator for Γ if every two distinct elements (vertices or
Hassan Raza, Ying Ji
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Inverse neutrosophic mixed graphs [PDF]
Journal of Fuzzy Extension and ApplicationsThis article successfully attempts to introduce the notion of Inverse Neutrosophic Mixed Graphs (INMG) together with its applications. This novel approach highlights the network modeling of real physical situations with indeterminacy.
Thempaavai Jayaprakash +1 more
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Moore mixed graphs from Cayley graphs
Electronic Journal of Graph Theory and Applications, 2023 A Moore (r, z, k)-mixed graph G has every vertex with undirected degree r, directed in- and out-degree z, diameter k, and number of vertices (or order) attaining the corresponding Moore bound M(r, z, k) for mixed graphs. When the order of G is close to M(
Cristina Dalfo, Miquel Àngel Fiol
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A Cooperative Merging Method for Mixed Traffic Based on Enhanced Graph Reinforcement Learning with Vehicle Collaboration Graphs [PDF]
SensorsAchieving cooperative perception and decision-making among connected and autonomous vehicles (CAVs) in mixed-traffic ramp merge scenarios is crucial for building a swarm intelligence-based traffic control system.
Haifeng Guo +5 more
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Large language model-driven knowledge graph reasoning for enhanced semantic segmentation [PDF]
Scientific ReportsUrban scene segmentation is essential for 3D city modeling and plays a crucial role in various remote sensing applications, including urban planning and environmental monitoring.
Jinhe Su +6 more
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𝕮-inverse of graphs and mixed graphs
Open MathematicsThis 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 +2 more
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The 2-colouring problem for $(m,n)$-mixed graphs with switching is polynomial [PDF]
Discrete Mathematics & Theoretical Computer Science, 2022 A mixed graph is a set of vertices together with an edge set and an arc set. An $(m,n)$-mixed graph $G$ is a mixed graph whose edges are each assigned one of $m$ colours, and whose arcs are each assigned one of $n$ colours. A \emph{switch} at a vertex $v$
Richard C Brewster +2 more
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The Spectral Distribution of Random Mixed Graphs
Axioms, 2022 In this work, we propose a random mixed graph model Gn(p(n),q(n)) that incorporates both the classical Erdős-Rényi’s random graph model and the random oriented graph model.
Yue Guan +7 more
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