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Network Systems & Social Computing Adjacency Matrix

Quiz by Robert

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10 questions
Show answers
  • Q1
    In an undirected social network graph represented by an adjacency matrix, what feature does the diagonal of this matrix typically represent?
    Total number of edges
    Degree of each node
    Total number of nodes
    Self-loops in the network
    30s
  • Q2
    What property does an adjacency matrix of a simple undirected graph with no self-loops possess?
    It is symmetric with zeros on the diagonal
    It is asymmetric with ones on the diagonal
    It is asymmetric with zeros on the diagonal
    It is symmetric with ones on the diagonal
    30s
  • Q3
    In a directed graph represented by an adjacency matrix, how is the weight of the edge from node i to node j represented?
    As the element in row i and column j
    As the diagonal element
    As the sum of elements in row i
    As the element in row j and column i
    30s
  • Q4
    In social network analysis, what can be inferred if an adjacency matrix of a graph is sparse?
    The network exhibits a hierarchical structure.
    The network has relatively few connections compared to the possible maximum.
    The network has more dense clusters.
    The network is fully connected.
    30s
  • Q5
    In a binary adjacency matrix of a social network graph, what does a value of 1 at position (i, j) indicate?
    There is an edge from node i to node j
    The network is undirected
    There is a loop at node i
    Node i and node j are the same
    30s
  • Q6
    How do you interpret a row sum in an adjacency matrix of a directed graph?
    The out-degree of the corresponding node
    The total weight of the graph
    The in-degree of the corresponding node
    The number of nodes in the graph
    30s
  • Q7
    What does a non-zero element at position (i, j) in a weighted adjacency matrix represent in a social network graph?
    The presence of a loop at node i
    The number of nodes in the network
    The absence of a direct connection
    The weight of the connection from node i to node j
    30s
  • Q8
    In the adjacency matrix of a simple undirected graph, what does it mean if all elements in a particular row are zero?
    The graph contains a cycle
    The corresponding node is connected to every other node
    The corresponding node is isolated from the rest of the network
    The graph is a complete graph
    30s
  • Q9
    In an adjacency matrix of a directed graph, what does a column sum represent for a specific node?
    The presence of self-loops at the node
    The in-degree of the corresponding node
    The total number of nodes in the graph
    The out-degree of the corresponding node
    30s
  • Q10
    In the context of adjacency matrices, which operation is used to determine the number of paths of length two between nodes in a graph?
    Square the adjacency matrix
    Invert the adjacency matrix
    Transpose the adjacency matrix
    Add the adjacency matrix to itself
    30s

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