Description
https://leetcode.com/problems/find-center-of-star-graph/
There is an undirected star graph consisting of n
nodes labeled from 1
to n
. A star graph is a graph where there is one center node and exactly n - 1
edges that connect the center node with every other node.
You are given a 2D integer array edges
where each edges[i] = [ui, vi]
indicates that there is an edge between the nodes ui
and vi
. Return the center of the given star graph.
Example 1:
Input: edges = [[1,2],[2,3],[4,2]] Output: 2 Explanation: As shown in the figure above, node 2 is connected to every other node, so 2 is the center.
Example 2:
Input: edges = [[1,2],[5,1],[1,3],[1,4]] Output: 1
Constraints:
3 <= n <= 105
edges.length == n - 1
edges[i].length == 2
1 <= ui, vi <= n
ui != vi
- The given
edges
represent a valid star graph.
Explanation
Find the vertice which occurs the same as the number of edges.
Python Solution
class Solution:
def findCenter(self, edges: List[List[int]]) -> int:
counter = {}
for edge in edges:
counter[edge[0]] = counter.get(edge[0], 0) + 1
counter[edge[1]] = counter.get(edge[1], 0) + 1
for key, value in counter.items():
if value == len(edges):
return key
- Time Complexity: O(N).
- Space Complexity: O(N).