In this paper, a parallel algorithm is presented to find ail cut-vertices a
nd blocks of an interval graph. If the list of sorted end points of the int
ervals of an interval graph is given then the proposed algorithm takes O(lo
g n) time acid O(n/log n) processors on an EREW PRAM, if the sorted list is
not given then the time and processors complexities are respectively O(log
n) and O(n).