Which of the following describes the differences of adjacent
list (e.g., vector of vectors) from adjacent matrix (e.g., array of
arrays) correctly (More than one answer may be selected)?
Homework Answers
Answer - adjacent list takes less space when the graph is a directed tree.
See first option is wrong because matrix representation is better in case of dense graphs.
Third option is wrong because it is easier to check if there an edge between two nodes in matrix representation. In adjacency list in worse case it may take O(n) time to check an edge between two nodes. While in matrix representation it is always O(1).
It is easier to delete a node in matrix representation than in adjacent list.
Now when graph is a directed tree then in that case number of edges will be less . So using adjacent list representation will save space. Thats why option B is correct.
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