Journal of Combinatorial Mathematics and Combinatorial Computing

ISSN: 0835-3026 (print) 2817-576X (online)

The Journal of Combinatorial Mathematics and Combinatorial Computing (JCMCC) embarked on its publishing journey in April 1987. From 2024 onward, it publishes four volumes per year in March, June, September and December. JCMCC has gained recognition and visibility in the academic community and is indexed in renowned databases such as MathSciNet, Zentralblatt, Engineering Village and Scopus. The scope of the journal includes; Combinatorial Mathematics, Combinatorial Computing, Artificial Intelligence and applications of Artificial Intelligence in various files.

Xiaoyu Rong1, Jiagong Tang2
1Public Foundation College, Jilin General Aviation Vocational and Technical College, Jilin, Jilin, 132000, China
2Ninth Middle School of Jilin City, Jilin, Jilin, 132000, China
Abstract:

The rise of digital humanities reflects a paradigm shift in literary research. This project applies natural language processing to ancient Chinese literature, embedding an attention mechanism into an iterative null convolutional network for named entity recognition. It also integrates the MacBERT pre-training model with a dual-channel structure of aspectual word and semantic features, designing a hierarchical attention mechanism for aspect-level sentiment analysis. Experimental results show improved recognition and sentiment analysis performance, with evaluation scores exceeding 83%. In Ming Dynasty fiction, craftsmen (44.7%) and merchants (22.4%) were the most frequent characters, highlighting the rise of a commercial economy and civic class. In Tang Dynasty poetry, 67.9% of sentiments were positive, with themes of national honor (0.334) and send-off emotions (0.226) commonly linked, reflecting the era’s prosperity and literary aspirations.

Praise Adeyemo1
1Department of Mathematics, University of Ibadan, Ibadan, Oyo, Nigeria
Abstract:

The family of graphs of reduced words of a certain sub-collection of permutations in the union n4Sn of symmetric groups is investigated. The sub-collection is characterised by the hook cycle type (n2,1,1) with consecutive fixed points. A closed formula for counting the vertices of each member of the family is given and the vertex-degree polynomials for the graphs with their generating series is realised. Some isomorphisms of these graphs with various combinatorial objects are established. Lastly, a link with the Poincar\’e polynomial of the integral cohomology ring of the Grassmannian Gr(2,n) is also given.

Ali Kessouri1, Moussa Ahmia2,3, Salim Mesbahi1
1Department of Mathematics, University of Ferhat Abbas Setif 1, Algeria
2Department of Mathematics, University of Mohamed Seddik Benyahia, Algeria
3LMAM laboratory, BP 98 Ouled Aissa Jijel 18000, Algeria
Abstract:

In this paper, we introduce the concept of the Over-inversion number, which counts the overlined permutations of length n with k inversions, allowing the first elements associated with the inversions to be independently overlined or not. We explore its properties and combinatorial interpretations through lattice paths, overpartitions, and tilings, and provide a combinatorial proof demonstrating that these numbers form a log-concave and unimodal sequence.

Yiling Sun1
1Faculty of Art and Social Science, National University of Singapore, 119077, Singapore
Abstract:

This paper aims at resolving the issue that the conventional literature study can’t deal with the large amount of data, the author proposes a research method for theme clustering and text mining of Chinese modern and contemporary literary texts in the network era. The author studied how to effectively improve the thematic clustering performance of literary texts based on keyword clustering ensemble method. Comparing two clustering ensemble methods (K-means based data ensemble and incremental clustering based algorithm ensemble) and four keyword extraction methods (TF-ISF CSI, ECC, TextRank), the effects of various keywords on the results of thematic clustering were analysed. Experiments indicate that the clustering algorithm can greatly increase the topic clustering efficiency, and it is more stable when the key words are less. The author’s research provides new technological means for text mining and thematic clustering in contemporary Chinese literature, which helps to promote the development of digital humanities research.

Mingjie Zhang1
1Chome-3-2 Kagamiyama, Higashihiroshima, Hiroshima, 739-0046, Japan
Abstract:

The undifferentiated recommendations in current library management systems fail to meet the diverse and personalized needs of users, and the vast amounts of user data accumulated over the years remain largely untapped. This paper integrates personalized recommendation requirements in self-service libraries with K-means clustering to design a labeling system and set user profile weights. Building on traditional reinforcement learning, we propose an Actor–Critic based recommendation algorithm that models the library recommendation task as a Markov decision process to automatically learn an optimal strategy by maximizing expected long-term rewards. The DDPG algorithm is employed to train the parameters of this framework, achieving improved personalized performance. Comparative experiments on datasets (ML-100k, Yahoo! Music, ML-1M, and Jester) demonstrate that our model outperforms traditional methods and DeepFM, with scores of 0.7708, 0.1918, 0.7155, and 0.3936, respectively. This study provides innovative insights for accurate recommendations and enhanced user experience in libraries.

Li Chen1
1Department of Chinese Language and Literature, Pingdingshan Vocational and Technical College, Pingdingshan, Henan, 467000, China
Abstract:

The application of virtual reality (VR) technology in teaching is increasingly widespread. This study leverages VR to create cross-cultural teaching contexts and develop speech recognition models for language learning. An ecological model of language learning based on VR is constructed, and a cross-cultural contextual VR system is implemented and introduced into language education. Testing reveals that the system achieves a speech recognition efficiency of 99.7% and a correctness rate of 99.5%. Moreover, a comparison of pre- and post-test data between experimental and control groups shows that the experimental group significantly outperformed the control group in English proficiency (p < 0.05). Overall, the cross-cultural contextual VR system demonstrates a significant positive impact on language learning outcomes.

Yongwei Feng1, Yu Yan2
1School of Literature and Communication, Chongqing University of Education, Chongqing, 400000, China
2College of Literature and Law, Wuhan Donghu College, Wuhan, Hubei, 430000, China
Abstract:

New media advertising boosts platform revenue, and intelligent content optimization enhances its effectiveness. This paper applies a multi-task deep learning neural network to optimize advertisement content, leveraging attention mechanisms and loss functions to improve performance. Blockchain technology is integrated to create a personalized and accurate recommendation system. Experimental results show that the proposed model effectively optimizes ad content, meeting functional and performance requirements. Most users’ ad browsing duration exceeds 50 seconds, outperforming traditional recommendation systems. The proposed system offers strong targeting, fast results, and cost efficiency, significantly enhancing user engagement with ad content.

Yaping Fu1, Fang Li2, Bin Wen3, Jingjing Li1, Zichen Pei1, Chen Zhao1
1Shanxi Provincial Atmospheric Detection Technology Support Center, Taiyuan, Shanxi, 030002, China
2Shanxi Province Meteorological Society, Taiyuan, Shanxi, 030002, China
3Chengdu University of Information Technology, Chengdu, Sichuan, 610200, China
Abstract:

With the frequent occurrence of global climate change and extreme weather events, meteorological forecasting technology has gradually become an auxiliary technology for production activities. In order to improve the quality of meteorological analysis results, a technology utilizing cloud radar data as the core is proposed. The vertical distribution of water vapor and liquid water in the atmosphere is detected by a ground-based microwave radiometer. The median filtering method is used to further smooth the classified and preliminarily removed reflectance factor data, and computer information processing technology is used for data analysis. The experimental results of Taiyuan ground based remote sensing high altitude detection experiment showed that in the data availability test, the research method had a data availability rate of 97.3% when the height was 2km in humidity data. When conducting accuracy analysis of the results, the root mean square error of the relative humidity profile was only 22.0% when the height increased to 12km. This indicates that the research method can conduct high-quality meteorological analysis and provide assistance for meteorological forecasting.

Zhiqiang Gao1, Chunling Tong1, XingKuan Bai1, Wenzheng An1
1School of Information Science and Electricity Engineering, Shandong Jiaotong University, Jinan 250357, China
Abstract:

A (d,1)-total labelling of a graph G is an assignment of integers {0,1,,l} to the vertices and edges of the graph such that adjacent vertices receive distinct integers, adjacent edges receive distinct integers, and the integer received by a vertex differs at least d from those received by its incident edges. The minimum number l required for such an assignment is called the (d,1)-total number of the graph G. This paper contributes to (d,1)-total labelling of two infinite families of snarks, the Goldberg family and the Loupekhine family. We completely determine the (d,1)-total numbers of these two families of snarks for all d2.

G. Aruna1, J. Jesintha Rosline1, Maria Singaraj Rosary2, Mohammad Reza Farahani3, Mehdi Alaeiyan3, Murat Cancan4
1PG and Research Department of Mathematics,Auxilium College (Autonomous), Affiliated to Thiruvalluvar university, Serkadu,Vellore, Tamil Nadu, India
2Department of Mathematics, Vel Tech High-Tech Dr. Rangarajan Dr. Sakunthala Engineering College, Chennai 600062, Tamil Nadu, India
3Department of Mathematics and Computer Science, University of Science and Technology (IUST), Narmak, Tehran, 16844, Iran
4Faculty of Education, Van Yuzuncu Yıl University, Zeve Campus, Tuşba, 65080, Van, Turkey
Abstract:

A prism fuzzy number is the integration of triangular and trapezoidal fuzzy numbers. In this artifact, the balancing point and the grading value of the prism fuzzy number is defined. By using prism fuzzy number, we were able to infer the Trapezoidal and Triangular fuzzy numbers. A comparative study with the current model is done to corroborate our findings. An enhanced grading technique for evaluating the prism fuzzy numbers is defined. Finally, the application of prism fuzzy numbers to assess student’s interest in higher studies and employment is illustrated using the MATLAB simulation. A statistical analysis is demonstrated using the Python programme with real-life data.

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Special Issues

The Combinatorial Press Editorial Office routinely extends invitations to scholars for the guest editing of Special Issues, focusing on topics of interest to the scientific community. We actively encourage proposals from our readers and authors, directly submitted to us, encompassing subjects within their respective fields of expertise. The Editorial Team, in conjunction with the Editor-in-Chief, will supervise the appointment of Guest Editors and scrutinize Special Issue proposals to ensure content relevance and appropriateness for the journal. To propose a Special Issue, kindly complete all required information for submission;