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Research & Reviews: Discrete Mathematical Structures

Applied Sciences ISSN 2394-1979 Hybrid open access

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About the journal

Research & Reviews: Discrete Mathematical Structures is a peer-reviewed hybrid open-access journal launched in 2014 that deals with discrete objects. Discrete objects are those which are separated from each other like integers, rational numbers, automobiles, houses, peoples, etc. are all discrete objects. Some of the major reasons that we adopt discrete mathematics are. We can handle infinity or large quantity and indefiniteness with them which results from formal approaches are reusable.

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  • 38Articles published
  • 10Published in 2026
  • 90Authors
  • 0Open access

Journal information

Title
Research & Reviews: Discrete Mathematical Structures
ISSN
2394-1979
Publisher
STM Journals
DOI
10.37591/rrdms
Starting year
2015
Subject
Applied Sciences
Publication format
Hybrid open access
Language
English
Type
Peer-reviewed journal (refereed)

Indexed in

Editorial board

  • Editor-in-Chief

    Dr. Engin Ozkan

    Mathematics, Faculty of Science, Marmara University,, Turkey

  • Associate Editor-in-Chief

    Dr. Marin Marin

    Department of Mathematics and Computer Science, Transilvania University of Brasov, Brașov

All 15 board members →

  • Published Subscription Original Research

    Semiring-Weighted Automata and Recursive Path Counting for Multi-State Reliability in Discrete Infrastructures

    By S. Vairachilai, Markala Karthik, Mohammed Almakki, Mohammed El Khider

    Abstract: Multi-state infrastructures such as communication backbones, microgrids, warehouse routing systems, and sensor-actuator pipelines evolve through discrete event sequences rather than through a single binary "working/failed" transition. This paper develops a semiring-weighted automata framework for reliability analysis in which state changes, repair actions, and degraded operating modes are represented by weighted transitions on a finite automaton. A path valuation is defined over an additively idempotent reliability semiring and extended to a …

    Published in Research & Reviews: Discrete Mathematical Structures · Vol. 13, Issue 2, 2026 · pp. 30–36 Read article

  • Published Subscription Original Research

    Task Scheduling in Cloud Computing using Hippopotamus Optimization Algorithm

    By Rekha S., Bhargavi K., Dinesha H.A.

    Abstract: Cloud computing, which provides remote clients with on-demand services, has emerged as a crucial component of contemporary technology. It is still difficult to schedule tasks effectively in such diverse and dynamic situations. Motivated by the hippopotamus's balanced exploration and exploitation behavior, this research suggests a unique work scheduling method utilizing the hippopotamus optimization algorithm (HOA). In order to maximize resource usage and throughput while minimizing makespan and execution cost, the …

    Published in Research & Reviews: Discrete Mathematical Structures · Vol. 13, Issue 2, 2026 · pp. 22–29 Read article

  • Published Subscription Original Research

    Intuitionistic Fuzzy Hypergraph Laplacians and Dominating Transversals for Resilient Discrete Network Design

    By Markala Karthik, S. Vairachilai, Mohammed Almakki, Mohammed El Khider

    Abstract: This manuscript develops a discrete mathematical framework for resilience analysis on networks whose interactions are polyadic, uncertain, and partially conflicting. Classical graphs compress multi-way coordination into pairwise edges, while ordinary fuzzy graphs often ignore the non-membership information that becomes critical in emergency logistics, infrastructure interdependence, and cyberphysical coordination. We therefore formulate an intuitionistic fuzzy hypergraph in which each vertex hyperedge incidence carries membership, non-membership, and hesitation, and we construct a …

    Published in Research & Reviews: Discrete Mathematical Structures · Vol. 13, Issue 2, 2026 · pp. 15–21 Read article

  • Published Subscription Original Research

    Idempotent Semiring Path Algebras and Fuzzy Dominance Automata for Multi-State Communication Reliability

    By Chethana N.S, Mohammed Almakki, Mohammed El Khider

    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

  • Published Subscription Review Article

    A Hybrid Mathematical Model for Epidemic Outbreak Forecasting Using Machine Learning and Cloud Computing

    By Narendra Janardhanrao Padole, Nitin S. Shrirao

    Abstract: The increasing frequency of infectious disease outbreaks has emphasized the necessity for intelligent epidemic surveillance systems capable of predicting disease spread at an early stage. Conventional outbreak detection approaches rely heavily on delayed statistical reporting and manual monitoring techniques, resulting in reduced responsiveness during critical periods. This paper presents a mathematical predictive framework for epidemic outbreak detection using machine learning and cloud computing technologies. The proposed framework integrates the Susceptible–Infected–Recovered …

    Published in Research & Reviews: Discrete Mathematical Structures · Vol. 13, Issue 2, 2026 · pp. 01–06 Read article

  • Published Subscription Review Article

    Mathematical Modelling of Semiconductor Device Physics: An Analytical Approach

    By Divya Tiwari, Kirti Verma

    Abstract: Semiconductor device physics forms the foundation of modern electronic and optoelectronic technologies. Mathematical modelling provides a rigorous framework for understanding, predicting, and optimizing the behavior of semiconductor devices by linking physical principles with device-level performance. This work presents an analytical approach to the mathematical modelling of semiconductor devices, emphasizing the derivation and interpretation of governing equations that describe charge transport and electrostatic behavior. The model is based on fundamental physical …

    Published in Research & Reviews: Discrete Mathematical Structures · Vol. 13, Issue 1, 2026 · pp. 36–42 Read article

  • Published Subscription Review Article

    An Efficient Vision-Based Algorithm for Hand Pose Estimation and Cursor Control

    By Dinesh Swami, Somineni Rohith Chowdary, Thumati Karthik, R. Hanish Kumar, N. Dharmendra

    Abstract: Conventional input devices like the keyboard and mouse are no longer necessary because gestures are becoming more popular as the most natural way to interact with computers. This project has demonstrated a novel real-time system that lets users control their computer cursors using simple hand gestures. The system facilitates an easy operation for us in terms of the use of a cursor by using techniques and hand mark detections. The …

    Published in Research & Reviews: Discrete Mathematical Structures · Vol. 13, Issue 1, 2026 · pp. 24–35 Read article

  • Published Subscription Review Article

    A SEIR-Informed Stacked Fusion of Prophet, XGBoost, and LSTM for Ward-Level Epidemic Forecasting in Amravati Municipal Corporation

    By Narendra J. Padole, Nitin S. Shrirao, Manish L. Jivtode

    Abstract: Municipal epidemic preparedness depends on accurate short-horizon forecasts at fine spatial granularity. Ward-level incidence series are typically nonstationary due to changing contact patterns, interventions, reporting delays, and heterogeneous demographic and environmental factors. This paper presents a mathematically formulated hybrid forecasting architecture designed for Amravati Municipal Corporation (AMC). The method decomposes observed incidence into (i) a mechanistic SEIR baseline that enforces epidemiological structure and (ii) a data-driven residual learned using Prophet …

    Published in Research & Reviews: Discrete Mathematical Structures · Vol. 13, Issue 1, 2026 · pp. 17–23 Read article

All 38 articles in this journal →

Archive on its own page →

Volume 13 (2026) 10 articles

Volume 14 (2025) 1 article

Volume 12 (2025) 12 articles

Volume 11 (2024) 14 articles

Volume 2 (2015) 1 article

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