Following the success of Part 1, the College of Science and Mathematics (CSM), through its Department of Mathematics and Statistics (DMS), conducted the second installment of its lecture series, โTriclique Polynomials and Triclique Neighborhood Polynomials of Graphs,โ on November 23, 2024, from 8:00 AM to 5:00 PM at the CSM Conference Hall. The event provided MST-Mathematics students with advanced knowledge and hands-on experience in the fascinating realm of Graph Theory, specifically on Triclique Polynomials.
The session was led by Mr. Aldison M. Asdain, a distinguished faculty member of DMS, who built upon the foundational concepts introduced in Part 1. He delved deeper into balanced tricliques and balanced triclique neighborhoods, offering detailed explanations and demonstrating methods to compute the corresponding triclique polynomials and triclique neighborhood polynomials for graphs. His engaging lecture provided students with valuable theoretical insights and practical approaches to these advanced concepts.
The event transitioned into an interactive workshop where participants were divided into five groups. Each group was assigned a unique graph and tasked to:
1. Identify the balanced tricliques within their graph,
2. Determine the neighborhood systems of these tricliques, and
3. Compute the triclique polynomials and triclique neighborhood polynomials.
This collaborative activity allowed participants to apply their learning, fostering teamwork and problem-solving skills. Following the workshop, each group presented their outputs, demonstrating their understanding and creative approaches to solving the given problems.
The lecture series concluded with a closing message from Ms. Eman C. Ahmad, another esteemed faculty member of DMS. She commended the participants for their active engagement and enthusiasm, emphasizing the importance of continued exploration in the field of Graph Theory. She also encouraged the students to further their academic pursuits, highlighting the significance of such activities in building a strong foundation for advanced mathematical research.
The successful completion of the two-part lecture series marks a milestone for the MST-Mathematics program, equipping students with sophisticated tools and techniques to excel in Graph Theory and related fields. It reflects the departmentโs commitment to fostering academic excellence and innovation, inspiring the next generation of mathematicians.
