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24 articles for “graph theory”
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Expanding Hicks Contraction Theory, Multi-Valued Mappings in Generalized b-Menger Spaces
Abstract: This paper extends the Hicks contraction theory to multi-valued mappings within generalized b-Manger spaces, a class of metric-like structures that accommodate more flexible distance functions. By introducing new definitions, such as generalized admissibility conditions and weak compatibility in the multivalued sense, we provide a comprehensive analysis of how these contractions behave in broader topological and metric contexts. Our approach systematically generalizes classical contraction principles by relaxing conventional constraints, thereby broadening …
Published in Research & Reviews: Discrete Mathematical Structures · Vol. 12, Issue 1, 2025 · pp. 1–05 Read article
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An Analysis of Machining Parameters for Metal Matrix Composite
Abstract: The electro-discharge machining analysis of hybrid Composite is presented in this work. Variables are chosen for the input process parameters. The material removal rate is acknowledged as an output parameter, together with the current, graphite and silicon carbide percentage and pulse on time. We used the Taguchi Method to conduct our experiments. To create the theoretical model and look into how process parameters affect the rate at which material is …
Published in Journal of Polymer & Composites · Vol. 13, Issue 2, 2025 · pp. 76–85 Read article
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Exploration of Diverse Epoxy-Based Surface Coating Methods for Enhancing Anticorrosion Characteristics
Abstract: Epoxy-based polymers, commonly referred to as polyepoxides, constitute one of the most versatile and widely adopted categories of polymeric materials due to their exceptional structural, mechanical, and chemical characteristics. Their unique macromolecular framework enables strong interfacial bonding, high mechanical stability, and superior resistance to environmental and chemical degradation, positioning them as advanced alternatives to many traditional organic corrosion inhibitors that often fail under prolonged exposure to aggressive conditions When polyepoxides …
Published in Journal of Polymer & Composites · Vol. 14, Issue 2, 2026 · pp. 167–177 Read article
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Idempotent Semiring Path Algebras and Fuzzy Dominance Automata for Multi-State Communication Reliability
Abstract: A semiring-based theory is proposed for multi-state communication reliability with fuzzy dominance constraints. Links are weighted in the max-product semiring, while nodes carry dominance coefficients and operating states that modulate admissible transitions in a weighted automaton. The paper derives semiring matrix products, Kleene closures, fixed point equations, congestion-regularized path scores, and reliability inequalities. A fuzzy dominance automaton is introduced so that route selection depends not only on link reliability but …
Published in Research & Reviews: Discrete Mathematical Structures · Vol. 13, Issue 2, 2026 · pp. 07–14 Read article