Queue & List. Data Structures & Algorithm. Abstract Data Types (ADTs). ADT is a mathematically specified entity that defines a set of its instances, with: a specific interface – a collection of signatures of methods that can be invoked on an instance,
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Data Structures & Algorithm
Algorithm dequeue()ifisEmpty() thenreturn ErrorQ[f]=nullf=(f+1)modN
Algorithm enqueue(o)ifsize() = N - 1 thenreturn ErrorQ[r]=or=(r +1)modN
Algorithm size()return(N-f+r) mod N
Algorithm front()if isEmpty() thenreturn Errorreturn Q[f]
Nodes connected in a chain by links
The head of the list is the front of the queue, the tail of the list is the rear of the queue. Why not the opposite?
NOTE: the header and trailer nodes are sentinel or “dummy” nodes because they do not store elements. Here’s a diagram of our doubly
Here’s a visualization of the code for removeLast().