1
GATE CSE 2016 Set 2
+2
-0.6
In an adjacency list representation of an undirected simple graph $$G = (V,E),$$ each edge $$(u, v)$$ has two adjacency list entries: $$[v]$$ in the adjacency list of $$u,$$ and $$[u]$$ in the adjacency list of $$v.$$ These are called twins of each other. A twin pointer is a pointer from an adjacency list entry to its twin. If $$|E| = m$$ and $$|V| = n,$$ and the memory size is not a constraint, what is the time complexity of the most efficient algorithm to set the twin pointer in each entry in each adjacency list?
A
$$\Theta \left( {{n^2}} \right)$$
B
$$\Theta \left( {n + m} \right)$$
C
$$\Theta \left( {{m^2}} \right)$$
D
$$\Theta \left( {{n^4}} \right)$$
2
GATE CSE 2016 Set 2
+1
-0.3
B+ Trees are considered BALANCED because
A
the lengths of the paths from the root to all leaf nodes are all equal.
B
the lengths of the paths from the root to all leaf nodes differ from each other by at most 1.
C
the number of children of any two non-leaf sibling nodes differ by at most 1.
D
the number of records in any two leaf nodes differ by at most 1.
3
GATE CSE 2016 Set 2
+1
-0.3
Suppose a database schedule $$S$$ involves transactions $${T_1},\,...,\,{T_n}.$$ Construct the precedence graph of $$S$$ with vertices representing the transactions and edges representing the conflicts. If $$S$$ is serializable, which one of the following orderings of the vertices of the precedence graph is guaranteed to yield a serial schedule?
A
Topological order
B
Depth-first order
C
D
Ascending order of transaction indices
4
GATE CSE 2016 Set 2
+2
-0.6
Consider the following database schedule with two transactions, T1 and T2
 S = r2(X); r1(X); r2(Y); w1(X); r1(Y); w2(X); a1; a2

where ri(Z) denotes a read operation by transaction Ti on a variable Z, wi(Z) denotes a write operation by Ti on a variable Z and ai denotes an abort by transaction Ti .

Which one of the following statements about the above schedule is TRUE?

A
S is non-recoverable
B
S is recoverable, but has a cascading abort
C
S does not have a cascading abort
D
S is strict
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