Skip to main content

CT Week 9

📚

Graph Concepts

A graph is a collection of nodes (vertices) and edges connecting pairs of nodes. In computational thinking, graphs are used to model relationships and processes. For example, a graph can represent a network of students where nodes are students and edges represent friendships or collaborations.

The mentoring problem involves assigning mentors to mentees in a way that optimizes certain criteria, such as maximizing the overall benefit or ensuring each mentee gets the best possible mentor. In the context of student performance, this could mean pairing high-performing students with those who need help, creating a graph where edges represent mentoring relationships.

A dictionary in a matrix context refers to using a dictionary data structure to store matrix elements efficiently. For example, in a sparse matrix (where most elements are zero), a dictionary can store only the non-zero elements, reducing memory usage. This can be useful in student performance tracking where only a few students might need special attention or resources.

A directed graph (or digraph) has edges with a direction, indicating a one-way relationship. In student performance, a directed graph can model dependencies, such as prerequisite courses. If a student must complete Course A before Course B, there would be a directed edge from A to B.

An undirected graph has edges without direction, indicating a mutual relationship. In the context of student performance, an undirected graph can represent study groups where each edge shows that two students study together, without implying any hierarchy or direction.

A clique in a graph is a subset of vertices where every two distinct vertices are connected by an edge. In student performance, a clique could represent a group of students who all collaborate with each other, forming a tightly-knit study group.

A popular student in graph terms is a node with a high degree, meaning it has many edges connecting it to other nodes. In a student performance context, this could be a student who collaborates with many peers or is frequently sought after for help.

Incoming edges (or in-degree) of a node are edges directed towards the node. In student performance, this could represent the number of students seeking help from a particular student.

Outgoing edges (or out-degree) are edges directed away from the node. This could represent the number of students a particular student is helping.

Comments

Post a Comment

Popular post

IITM Notes

Course Overview “These handwritten notes encompass topics in data science and civil services. The beauty of knowledge is that you don’t need to belong to any specific group; simply maintain your curiosity, and knowledge will find its way to you. I hope these notes are helpful. If they are, please consider leaving a comment below and follow my blog for updates.” Mathematics 1 👉 Select Week Week 1 Week 2 Week 3 Week 4 Week 5 Week 6 Week 7 Week 8 Week 9 Week 10 Week 11 Revision Statistics 1 👉 Select Week Week 1 Week 2 Week 3 Week 4 Week 5 Week 6 Week 7 Week 8 Week 9 Week 10 Week 11
Post a Comment
Click here to read more

Maths 1 week 1 Summary

Number System and Set Theory 📚 Number System and Set Theory This week, our teacher covered the basics of the number system. We were instructed to consider 0 as part of the natural numbers, as it will be treated as such in future subjects like Python. However, in exams, it will be explicitly stated whether 0 should be considered a natural number. The key topics from this week include set theory and the relationship between two sets. In set theory, we focused on three Venn diagram problems. In the context of relations, we discussed the concepts of reflexive, symmetric, transitive, and equivalence relations. Detailed Explanation 1.Union of Two Sets The union of two sets A and B is the set of elements that are in either A , B , or both. It is denoted as A ∪ B . 2.Intersection of Two Sets The intersection of two sets A and B is the set of elements that are in both A and B . It is denoted as A ∩ B . 3.Subt
Post a Comment
Click here to read more

Community page

Welcome To our IITM BS Students Community This community is a student commune where IIT Madras Bachelor of Science students are studying. Our community is managed by 15 community admins who oversee our WhatsApp community, Discord, and Telegram profiles. With more than 1000+ active members, we study together, share memes, watch movies, play games, and have fun. Our goal is to bring all online IITM students together to excel in exams while having fun. Community Admins Agampreet LinkedIn Ansh Ashwin Ambatwar Arti Dattu Dolly Elango Koushik Shrijanani Saksham Shivamani Shivam Instagram LinkedIn Join Our Community Subscribe to our YouTube page Join our meme team on
Post a Comment
Click here to read more