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811 articles for “graph”
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Laceability in Line Graphs and Jump Graphs of Petersen Graph
Abstract: A simple connected graph is Hamiltonian laceable if there exists a Hamiltonian path between every pair of distinct vertices at an odd distance in it. is Hamiltonian-t-laceable (t*-laceable) if there exists a Hamiltonian path in between every pair (at least one pair) of vertices u and v in with the property Manjunath et al. obtained Hamiltonian laceability properties in line graphs and jump graphs of some graphs. In this paper …
Published in Research & Reviews: Discrete Mathematical Structures · Vol. 3, Issue 2, 2016 · pp. 5–13 Read article
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Graphene-Polymer Nanocomposites for Drug Delivery Applications
Abstract: Graphene-polymer nanocomposites (GPNCs) have gained significant attention in drug delivery due to their exceptional physicochemical properties, including high surface area, mechanical strength, tunable functionality, and biocompatibility. These nanocomposites integrate graphene derivatives, such as graphene oxide (GO) and reduced graphene oxide (rGO), with biocompatible polymers to enhance drug loading efficiency, stability, and controlled release. Various natural (chitosan, alginate) and synthetic (PLGA, PEG, PCL) polymers are used to functionalize graphene, enabling targeted …
Published in Journal of Polymer & Composites · Vol. 13, Issue 4, 2025 · pp. 362–374 Read article
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Context of Different Graph Operations: Fibonacci Product Cordial Labeling of Herschel Graph
Abstract: The function φ: V (G) → {F1, F2,..., Fn}, where Fj is the jth Fibonacci number (j = 1,..., n), is said to be Fibonacci product cordial labeling if the induced function φ*: E (G) → {0, 1} defined by 𝜑∗ (𝑢𝑣) = (𝜑(𝑢)𝜑 (𝑣))(𝑚𝑜𝑑 2) meets the criterion |𝑒𝜑∗(0) – � �𝜑∗(1)| ≤ 1. A graph known as the Fibonacci product cordial graph is one that permits Fibonacci product …
Published in Research & Reviews: Discrete Mathematical Structures · Vol. 11, Issue 1, 2024 Read article
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Characterization of topologically 1-uniform dcsl graphs and learning graphs
Abstract: A distance compatible set labeling (dcsl) of a connected graph $G$ is an injective set assignment $f : V(G) \rightarrow 2^{X},$ $X$ being a non empty ground set, such that the corresponding induced function $f^{\oplus} :E(G) \rightarrow 2^{X}\setminus \{\phi\}$ given by $f^{\oplus}(uv)= f(u)\oplus f(v)$ satisfies $ |f^{\oplus}(uv)| = k_{(u,v)}^{f}d_{G}(u,v) $ for every pair of distinct vertices $u, v \in V(G),$ where $d_{G}(u,v)$ denotes the path distance between $u$ and $v$ …
Published in Research & Reviews: Discrete Mathematical Structures · Vol. 5, Issue 3, 2018 · pp. 6–10 Read article
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Synthesis of Graphene-CeO2 Nanocomposite with Enhanced Electrochemical Properties
Abstract: For the fabrication of graphene–cerium oxide (CeO₂G) composites, 99 mg of cerium oxide (CeO₂, 99.9%) was uniformly dispersed in 100 mL of deionized water via ultra-sonication (40 kHz) to achieve a stable suspension, followed by the incorporation of 1 mg of synthesized graphene. The resulting mixture was maintained at ambient temperature (25 ± 2 °C) under continuous magnetic stirring at 500 rpm for 2 h to promote effective interfacial interaction …
Published in Journal of Polymer & Composites · Vol. 14, Issue 1, 2026 · pp. 1355–1373 Read article
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Electro-chemical treatment of graphite oxide: preparation and Characterization of high quality Graphene material
Abstract: With the enlargement of flexibility and suitability in material industries, high-performance thermal management materials are demanded with high thermal conductivity and electrical insulation are growing. In recent years, graphene has received a numerous focus from science community due to its high thermal conductivity and electrical insulation. Fabrication of light weight graphene and its derivatives as graphene Oxide (GO) and reduced graphene oxide (rGO) via facile processing method is yet a …
Published in Journal of Polymer & Composites Read article
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Electro-chemical treatment of graphite oxide: preparation and Characterization of high quality Graphene material
Abstract: With the enlargement of flexibility and suitability in material industries, high-performance thermal management materials are demanded with high thermal conductivity and electrical insulation are growing. In recent years, graphene has received a numerous focus from science community due to its high thermal conductivity and electrical insulation. Fabrication of light weight graphene and its derivatives as graphene Oxide (GO) and reduced graphene oxide (rGO) via facile processing method is yet a …
Published in Journal of Polymer & Composites · Vol. 12, Issue 5, 2024 · pp. 25–36 Read article
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AI-Integrated Graphene-Modified Polymer Interfaces for Real-Time Crack Detection and Autonomous Healing in Smart Concrete Structures
Abstract: This study presents the design and development of a graphene-reinforced multifunctional polymer composite interface engineered for structural reinforcement, self-sensing, and autonomous healing applications in cementitious systems. A thermosetting polymer matrix embedded with graphene nanoplatelets (0.25–1.5 wt.%) was developed to establish a conductive polymer nano-composite network. Electrical characterization confirmed a distinct percolation threshold at ~0.6–0.8 wt.%, beyond which a sharp increase in conductivity was observed due to the formation of interconnected …
Published in Journal of Polymer & Composites · Vol. 14, Issue 3, 2026 · pp. 30–42 Read article
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Graphene-Based Electronic Skin for Wearable Health Monitoring and Human–Machine Interaction, Materials, Structures, and AI Integration
Abstract: Graphene-based electronic skin (e-skin) has emerged as a transformative technology for next-generation wearable health monitoring and advanced human–machine interaction (HMI). Owing to its outstanding electrical conductivity, mechanical flexibility, atomic-scale thickness, and biocompatibility, graphene enables the fabrication of ultrathin, conformal, and multifunctional sensors capable of mimicking the sensory functions of natural human skin. Over the past decade, research in this domain has progressed rapidly across four interconnected fronts: material synthesis and …
Published in Journal of Polymer & Composites · Vol. 14, Issue 4, 2026 · pp. 175–180 Read article
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Thermo-Hydraulic Performance of a Double-Pipe Double-Pass Heat Exchanger using Annular Fins and Graphite-filled Epoxy Composite Tubes
Abstract: Double-pipe heat exchangers remain one of the most widely adopted thermal devices because of their simple construction, operational reliability, and ease of maintenance. Nevertheless, their performance is often constrained by the limited heat transfer area of smooth tubes and the long-term challenges associated with metallic materials, including corrosion, scaling, and structural weight. Recent advances in thermally conductive polymer composites provide an opportunity to overcome these limitations by replacing conventional metals …
Published in Journal of Polymer & Composites · Vol. 14, Issue 5, 2026 Read article
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Subtract Divisor Cordial Labeling of Ring Sum of a Graphs
Abstract: Abstract: A subtract divisor cordial labeling of a graph G with vertex set is a bijection f from V to {1, 2,…, |V|} such that an edge is assigned the label 1 if 2 divides (f(u) – f(v)) and 0 otherwise, then number of edges labeled with 0 and the number of edges labeled with 1 differ by at most 1. A graph with a subtract divisor cordial labeling is …
Published in Research & Reviews: Discrete Mathematical Structures · Vol. 6, Issue 3, 2019 · pp. 23–28 Read article
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Integer Cordial Labeling in context of Ring sum of Graphs
Abstract: An Integer Cordial Labeling of a graph G*(p, q) is an one-one map g: V * or as p is even or odd, which induces an edge labeling defined by such that the number of edges labeled 1 and the number of edges labeled 0 differ by at most 1. If a graph has integer cordial labeling (I.C.L.), then it is called integer cordial graph (I.C.G.). In this paper, I …
Published in Research & Reviews: Discrete Mathematical Structures · Vol. 10, Issue 2, 2023 · pp. 21–27 Read article
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A Comparative Study on Formaldehyde Detection Capabilities in Pristine Graphene and Ag-doped Graphene Sheet
Abstract: The present work concerns a detailed investigation of the enhanced formaldehyde (also known as methanal) detection by decorating the pristine (or bare) graphene nanosheet with silver (Ag) nano-particle (or foreign Ag atom). The bare graphene sheet was exposed to the formaldehyde vapor forming the formaldehyde-adsorbed pristine graphene sheet (taken as Case-I), and whose results were studied and compared with the outcomes obtained from the formaldehyde-adsorbed Ag-decorated graphene sheet (taken as …
Published in Journal of Polymer & Composites · Vol. 13, Issue 1, 2025 · pp. 801–809 Read article
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Topological Integer Additive Set-Valued Graphs: A Review
Abstract: AbstractLet denote a set of non-negative integers and be the collection of all non-empty subsets of . An integer additive set-labeling (IASL) of a graph is an injective set-valued function where induced function is defined by , where is the sumset of and . A set-labeling is said to be a topological set-labeling if is a topology on the ground set and a set-labeling is said to be a topogenic …
Published in Research & Reviews: Discrete Mathematical Structures · Vol. 4, Issue 3, 2017 · pp. 1–17 Read article
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Commutativity of Some Graph Operators
Abstract: AbstractThe line graph L(G) of a graph G has the edges of G as its vertices and two distinct edges of G are adjacent in L(G) if they are incident in G. In this paper we consider the commutativity of the line graph operator with some other operators such as Gallai graph Γ(G), anti- Gallai graph Δ(G), kth power of a graph Powk(G), k-distance graph Tk(G), cycle graph Cy(G), block …
Published in Research & Reviews: Discrete Mathematical Structures · Vol. 6, Issue 1, 2019 · pp. 1–5 Read article
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Fibonacci Divisor Cordial Labeling of Different Graphs
Abstract: Fibonacci divisor of graph G with vertex set V (G)-Bijection f: V (G) → {F1, F2 ,. .. .. , Fp}, where Fi is the ith Fibonacci number. Therefore, if label 1 is assigned to each edge uv, if f (u) | f (v) or f (v) | f (u), mark 0 otherwise, then 0. The number of edges marked with 1 differs from the number of edges marked with …
Published in Research & Reviews: Discrete Mathematical Structures · Vol. 8, Issue 2, 2021 · pp. 38–45 Read article
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A Comprehensive Review of Mathematical Modelling using Graphs
Abstract: This article provides a detailed insight into the applications and methods of mathematical modeling using graphs. Graph theory has proven to be a powerful tool for representing and analyzing complex systems in diverse fields such as computer science, social networks, transportation, biology, etc. This paper covers the importance of graph theory for solving real-world problems. Mathematical modeling using graph theory includes graphical representations, algorithms, and their applications in network analysis, …
Published in Research & Reviews: Discrete Mathematical Structures · Vol. 10, Issue 2, 2023 · pp. 28–34 Read article
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Lucas Divisor Cordial labeling of various graphs
Abstract: In this we found six new graphs families satisfying the condition of Lucas divisor cordial labeling. We prove that Shadow of star graph is Lucas divisor cordial. We prove that Degree splitting of star graph is Lucas divisor cordial. We prove that Jewel graph Jn is Lucas divisor cordial. And we prove that Globe graph Gln is Lucas divisor cordial. Further we prove that K1, 1, n is Lucas divisor …
Published in Research & Reviews: Discrete Mathematical Structures · Vol. 10, Issue 2, 2023 · pp. 6–12 Read article
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Graphene-Based Polyaniline Nanofiber Composites as Supercapacitor Electrodes
Abstract: Modern world uses electricity in different forms for various purposes, some may store it for a later use or some may use it directly. The growing demand for hybrid electric vehicles and portable systems requiring more power to be delivered in less amount of time is pushing the need for electrochemical capacitors. Compared to batteries, electrochemical capacitors or supercapacitors exhibit faster and higher power transport capability, longer life, very low …
Published in Nano Trends – A Journal of Nano Technology & Its Applications · Vol. 17, Issue 3, 2015 · pp. 47–53 Read article
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Computational Study of Sombor Index on Generalized Abid–Waheed Graphs for Polymer Modeling
Abstract: This study investigates the topological properties of generalized Abid Waheed graphs. Development of theoretical models in chemistry, reducing computational complexity while analysing large molecules or networks Abid Waheed graphs play a significant role. Motivated by these findings, the research was extended to encompass generalized Abid Waheed graphs, characterized by r cycles of order s. A notable similarity between Abid Waheed graphs and Jahangir graphs was observed. The potential applications of …
Published in Journal of Polymer & Composites · Vol. 13, Issue 5, 2025 · pp. 267–274 Read article