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Question 1
A connected simple undirected graph G has 15 vertices. Five vertices have degree 4, four vertices have degree 3, and six vertices have degree 2. How many edges does G contain?
Correct Answer:
22 edges
Question 2
A connected planar graph G has 12 vertices and 8 faces (regions). How many edges does G have according to Euler's Planar Graph Formula?
Correct Answer:
18 edges
Question 3
What is the total number of edges in a complete undirected graph K_8, and what is its chromatic number chi(K_8)?
Correct Answer:
28 edges and chromatic number 8
Question 4
A complete bipartite graph K_{m,n} has 14 vertices in total. Which partition sizes m and n maximize the number of edges, and what is this maximum edge count?
Correct Answer:
m = 7, n = 7 with 49 edges
Question 5
Consider a sparse connected graph G with V = 10,000 vertices and E = 20,000 edges. Which storage representation uses less memory space, and what is the time complexity to check whether an edge exists between vertex u and vertex v in an unsorted adjacency list?
Correct Answer:
Adjacency list uses less space; edge lookup takes O(deg(u)) time
Question 1
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About this Exam

Prepare with the VCE Algorithmics (HESS) Practice Questions - VCE Algorithmics (HESS) Units 3 & 4 Exam practice quiz. This question bank includes 100 questions covering graph, vertices, algorithm, edges, and vertex. Use it to review important concepts, identify knowledge gaps, and build confidence for the related exam, course, or assessment.

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VCE Algorithmics (HESS) Practice Questions - VCE Algorithmics (HESS) Units 3 & 4 Exam

This practice set contains 100 questions from the matching question bank and focuses on graph, vertices, algorithm, edges, and vertex. Work through each question carefully, review the provided solutions, and revisit topics that need more study before your next attempt.

This is an independent study resource intended for practice and review; it is not an official examination or an endorsement by any organization named in the title.

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