Advanced Fractal Graph Theory and Applications
暫譯: 進階分形圖論及其應用

Tharaniya, P., Jayalalitha, G., Raj, Pethuru

Advanced Fractal Graph Theory and Applications
  • 出版商: CRC
  • 出版日期: 2024-12-30
  • 售價: $4,230
  • 貴賓價: 9.5 折 $4,019
  • 語言: 英文
  • 頁數: 247
  • 裝訂: Hardcover - also called cloth, retail trade, or trade
  • ISBN: 103276810X
  • ISBN-13: 9781032768106

    • 海外代購書籍(需單獨結帳)

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商品描述

This book explores the dynamic interplay between fractals and graph theory, two powerful mathematical tools with vast applications. It presents a strategic combination and the synergistic use of these disciplines to address real-world problems and challenges. The book begins with an introduction to the basic concepts of fractals and graph theory and goes on to explore the applications in various domains, including natural phenomena modelling, scheduling, and network optimisation.

  • Illustrates the innovative ways fractals and graph theory can be combined, laying the groundwork for future applications across various industries

  • Introduces the fundamental concepts and principles of both fractals and graph theory in detail, making it accessible to a broad audience, including those new to these topics

  • Explores practical applications in image processing, network optimisation, social network analysis, and more, demonstrating the real-world impact of these mathematical tools

  • Analyses advanced techniques in graph theory, such as matching, domination, and colouring, with practical examples and case studies

  • Highlights the latest research advancements in fractal graph theory, showcasing its potential for future developments and applications

This book is for students, researchers, and professionals in mathematics, computer science, engineering, and related fields.

商品描述(中文翻譯)

本書探討了分形與圖論之間的動態互動，這兩種強大的數學工具具有廣泛的應用。它呈現了這些學科的戰略性結合及其協同使用，以解決現實世界中的問題和挑戰。本書首先介紹了分形和圖論的基本概念，然後探討了在各個領域的應用，包括自然現象建模、排程和網路優化。

- 說明了分形和圖論可以創新結合的方式，為未來在各行各業的應用奠定基礎
- 詳細介紹了分形和圖論的基本概念和原則，使其對廣泛的讀者群體可及，包括對這些主題不熟悉的人
- 探討了在影像處理、網路優化、社交網路分析等方面的實際應用，展示了這些數學工具的現實影響
- 分析了圖論中的高級技術，如匹配、主導和著色，並提供實際範例和案例研究
- 突出了分形圖論的最新研究進展，展示其未來發展和應用的潛力

本書適合數學、計算機科學、工程及相關領域的學生、研究人員和專業人士。

作者簡介

1. Dr. P. Tharaniya: In 2022, Dr. P.Tharaniya obtained her Ph.D. in the Department of Mathematics from VELS Institute of Science, Technology and Advanced Studies, Chennai. Currently, she is working as an Assistant Professor in the Department of Mathematics at Rajalakshmi Institute of Technology, Chennai. She has over 14 years of teaching and more than 5 years of Research experience. She has presented at more than 10 International and National Conferences. She has attended many webinars, Faculty Development Programs, and Workshops related to Graph Theory. 12 technical papers published in Journals and Conferences. Fractal Graph Theory, Matching, Domination, and Coloring are some of her research interests.

Orcid id: https: //orcid.org/0000-0003-2345-7129

Academic url: https: //ritchennai.org/index.php

ResearchGate: https: //www.researchgate.net/profile/P-Tharaniya

GoogleScholar: https: //scholar.google.com/citations?user=V1xP15gAAAAJ&hl=en&oi=ao

2. Dr.G.Jayalalitha

In 2011, Dr.G.Jayalalitha obtained her Ph.D. in Mathematics from Sri Chandrasekharendra Saraswathi Vishwa Mahavidyalaya. She is the lifetime member of the Indian Mathematical Society, MISTE, and The Association of Mathematics Teachers of India. Currently, she is working as a Professor of the Department of Mathematics at VELS Institute of Science, Technology, and Advanced Studies, Chennai. Her teaching and research experience is nearly 18 years. She has published nearly 120 articles and produced 11 Ph.D. Scholars. She has presented at more than 10 International and National Conferences and is also Resource Person, Keynote Speaker in more than 10 programs, and Advisory Board Member in VISTAS. Her papers are cited in nearly 158 and her h-index is 7. Her research interests in Fractals, Mathematical Modelling, Operation Research, and Graph Theory.

ORCID ID: https: //orcid.org/0000-0002-3247-4697

Scopus ID: http: //www.scopus.com/authid/detail.url?authorId=57202163730

Google Scholar Id: http: //scholar.google.co.in/citations?user=26pS628AAAAJ

ResearchGate: https: //www.webofscience.com/wos/author/rid/ABA-8428-2022

3. Pethuru Raj, PhD

Vice President and Chief Architect

Edge AI Division, Reliance Jio Platforms Ltd.

Bangalore, India 560103

Currently working at Reliance Jio Platforms Ltd. (JPL) Bangalore. Previously, worked in IBM Global Cloud Center of Excellence (CoE), Wipro consulting services (WCS), and Robert Bosch Corporate Research (CR). He has gained over 22 years of IT industry experience and eight years of research experience. Finished the CSIR-sponsored PhD degree at Anna University, Chennai, and continued with the UGC-sponsored postdoctoral research in the Department of Computer Science and Automation, Indian Institute of Science (IISc), Bangalore. After that, he was granted two international research fellowships (JSPS and JST) to work as a research scientist for 3.5 years in two leading Japanese universities. He has been an ACM and IEEE professional member. Focuses on some of the digital transformation technologies such as the Internet of Things (IoT), Artificial Intelligence (AI), Streaming Data Analytics, Blockchain, Digital Twins, Cloud-native computing, Edge and Serverless computing, Reliability engineering, Microservices architecture (MSA), Event-driven architecture (EDA), 5G/6G, etc.

Technology Books: https: //peterindia.net/MyBooks.html

Google Scholar: https: //scholar.google.co.in/citations?user=yaDflpYAAAAJ&hl=en

LinkedIn: https: //www.linkedin.com/in/sweetypeter/

4. B. Sundaravadivazhagan Ph.D, SMIEEE

Department of Information Technology

University of Technology and Applied Sciences-Al Mussanah, Oman

B. Sundaravadivazhagan has obtained PhD in computer science from Anna University, Chennai India. Currently, he is faculty in the Department of Information Technology at the University of Technology, and Applied Science-AL Mussanah in Oman.He has professional memberships in ISACA and ISTE and is a senior member of IEEE.His academic and research background spans more than 23 years at many institutions. Working on two financed research projects for the Ministry of Higher Education Research Innovation in Oman via TRC. His research interests include the Cyber Security, Artificial Intelligence and machine learning, deep learning, and cloud computing. He has published more than 75technical articles in journals and conferences throughout the world.

Orcid Id: https: //orcid.org/my-orcid?orcid=0000-0002-5515-5769

Academic URL: https: //www.act.edu.om/staffdirectory/index.aspx?XY=496

LinkedIn: https: //www.linkedin.com/in/dr-b-sundaravadivazhagan-a3562b136/

Google Scholar: https: //scholar.google.com/citations?user=gWbzTjMAAAAJ&hl=en

作者簡介(中文翻譯)

1. **Dr. P. Tharaniya**：在2022年，Dr. P. Tharaniya於印度金奈的VELS科學、技術與高等研究學院數學系獲得博士學位。目前，她在金奈的Rajalakshmi技術學院數學系擔任助理教授。她擁有超過14年的教學經驗和5年以上的研究經驗。她曾在超過10個國際和國內會議上發表演講。她參加了許多與圖論相關的網路研討會、教師發展計畫和工作坊。已在期刊和會議上發表了12篇技術論文。她的研究興趣包括分形圖論、匹配、支配和著色。

**ORCID ID**：https://orcid.org/0000-0003-2345-7129
**學術網址**：https://ritchennai.org/index.php
**ResearchGate**：https://www.researchgate.net/profile/P-Tharaniya
**Google Scholar**：https://scholar.google.com/citations?user=V1xP15gAAAAJ&hl=en&oi=ao

2. **Dr. G. Jayalalitha**
在2011年，Dr. G. Jayalalitha於Sri Chandrasekharendra Saraswathi Vishwa Mahavidyalaya獲得數學博士學位。她是印度數學學會、MISTE和印度數學教師協會的終身會員。目前，她在金奈的VELS科學、技術與高等研究學院數學系擔任教授。她的教學和研究經驗接近18年。她已發表近120篇文章並培養了11位博士生。她曾在超過10個國際和國內會議上發表演講，並在超過10個計畫中擔任資源人員和主題演講者，還是VISTAS的顧問委員會成員。她的論文被引用近158次，h-index為7。她的研究興趣包括分形、數學建模、運籌學和圖論。

**ORCID ID**：https://orcid.org/0000-0002-3247-4697
**Scopus ID**：http://www.scopus.com/authid/detail.url?authorId=57202163730
**Google Scholar ID**：http://scholar.google.co.in/citations?user=26pS628AAAAJ
**ResearchGate**：https://www.webofscience.com/wos/author/rid/ABA-8428-2022

3. **Pethuru Raj, PhD**
**副總裁及首席架構師**
**邊緣人工智慧部門，Reliance Jio Platforms Ltd.**
**印度班加羅爾 560103**

目前在Reliance Jio Platforms Ltd. (JPL)班加羅爾工作。之前曾在IBM全球雲端卓越中心 (CoE)、Wipro諮詢服務 (WCS) 和Robert Bosch企業研究 (CR) 工作。他擁有超過22年的IT產業經驗和8年的研究經驗。在金奈的安娜大學完成CSIR贊助的博士學位，並在班加羅爾的印度科學研究院 (IISc) 計算機科學與自動化系繼續進行UGC贊助的博士後研究。之後，他獲得兩個國際研究獎學金 (JSPS和JST)，在兩所領先的日本大學擔任研究科學家3.5年。他是ACM和IEEE的專業會員。專注於一些數位轉型技術，如物聯網 (IoT)、人工智慧 (AI)、串流數據分析、區塊鏈、數位雙胞胎、雲原生計算、邊緣和無伺服器計算、可靠性工程、微服務架構 (MSA)、事件驅動架構 (EDA)、5G/6G等。

**技術書籍**：https://peterindia.net/MyBooks.html
**Google Scholar**：https://scholar.google.co.in/citations?user=yaDflpYAAAAJ&hl=en
**LinkedIn**：https://www.linkedin.com/in/sweetypeter/

4. **B. Sundaravadivazhagan Ph.D, SMIEEE**
**資訊技術系**
**阿曼科技與應用科學大學-Al Mussanah**

**B. Sundaravadivazhagan**在印度金奈的安娜大學獲得計算機科學博士學位。目前，他是阿曼科技與應用科學大學-Al Mussanah資訊技術系的教職員。他是ISACA和ISTE的專業會員，並且是IEEE的資深會員。他的學術和研究背景涵蓋超過23年，曾在多個機構工作。正在為阿曼高等教育研究創新部通過TRC進行兩個資助的研究項目。他的研究興趣包括網路安全、人工智慧和機器學習、深度學習和雲計算。他已在全球的期刊和會議上發表超過75篇技術文章。

**ORCID ID**：https://orcid.org/my-orcid?orcid=0000-0002-5515-5769
**學術網址**：https://www.act.edu.om/staffdirectory/index.aspx?XY=496
**LinkedIn**：https://www.linkedin.com/in/dr-b-sundaravadivazhagan-a3562b136/
**Google Scholar**：https://scholar.google.com/citations?user=gWbzTjMAAAAJ&hl=en

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