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How to Solve Maximum Star Sum of a Graph Problem
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Start Free for WindowsMedium#2497
LeetCode ProblemMaximum Star Sum of a Graph
There is an undirected graph consisting of n nodes numbered from 0 to n - 1. You are given a 0-indexed integer array vals of length n where vals[i] denotes the value of the ith node. You are also given a 2D integer array edges where edges[i] = [ai, bi] denotes that there exists an undirected edge connecting nodes ai and bi. A star graph is a subgraph of the given graph having a center node containing 0 or more neighbors. In other words, it is a subset of edges of the given graph such that there exists a common node for all edges. The image below shows star graphs with 3 and 4 neighbors respectively, centered at the blue node. The star sum is the sum of the values of all the nodes present in the star graph. Given an integer k, return the maximum star sum of a star graph containing at most k edges.
ArrayGreedyGraphSortingHeap (Priority Queue)
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Problem Breakdown
Understanding the Maximum Star Sum of a Graph Problem
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Problem Statement
There is an undirected graph consisting of n nodes numbered from 0 to n - 1. You are given a 0-indexed integer array vals of length n where vals[i] denotes the value of the ith node. You are also given a 2D integer array edges where edges[i] = [ai, bi] denotes that there exists an undirected edge connecting nodes ai and bi. A star graph is a subgraph of the given graph having a center node containing 0 or more neighbors. In other words, it is a subset of edges of the given graph such that there exists a common node for all edges. The image below shows star graphs with 3 and 4 neighbors respectively, centered at the blue node. The star sum is the sum of the values of all the nodes present in the star graph. Given an integer k, return the maximum star sum of a star graph containing at most k edges.
MediumProblem #2497
LeetCodeMaximum Star Sum of a Graph
Related Topics
ArrayGreedyGraphSortingHeap (Priority Queue)
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Examples
# Example 1
Input
vals = [1,2,3,4,10,-10,-20], edges = [[0,1],[1,2],[1,3],[3,4],[3,5],[3,6]], k = 2
Output
16
# Example 2
Input
vals = [-5], edges = [], k = 0
Output
-5
Constraints
n == vals.length
1 <= n <= 105
-104 <= vals[i] <= 104
0 <= edges.length <= min(n * (n - 1) / 2, 105)
edges[i].length == 2
0 <= ai, bi <= n - 1
ai != bi
0 <= k <= n - 1
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Solve Maximum Star Sum of a Graph — There is an undirected graph consisting of n nodes numbered from 0 to n - 1. You...
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def solve(input):
# Optimal O(n) solution
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Time: O(n) | Space: O(n)
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Frequently Asked Questions
Common questions about solving Maximum Star Sum of a Graph and using Phantom Code during coding interviews.
How does Phantom Code help me solve coding problems like Maximum Star Sum of a Graph during interviews?
Phantom Code generates complete solutions instantly with proper complexity analysis, letting you focus on explaining your approach and demonstrating problem-solving skills rather than getting stuck on implementation details during high-pressure situations.
What if the interviewer asks follow-up questions or modifications to problems like Maximum Star Sum of a Graph?
Phantom Code adapts in real-time. Screenshot the modified problem or use audio mode to capture the interviewer's follow-up, and get an updated solution within seconds — including edge cases and optimizations.
Can Phantom Code help me communicate my solution for problems like Maximum Star Sum of a Graph?
Yes. Phantom Code provides step-by-step approach explanations with 3 progressive thoughts, so you can walk through your solution naturally. It also provides time and space complexity analysis to discuss trade-offs.
How does Phantom Code assist with different programming languages for Maximum Star Sum of a Graph type problems?
Phantom Code supports 11 programming languages including Python, Java, C++, JavaScript, TypeScript, Go, Rust, Ruby, Swift, Kotlin, and C#. Set your preferred language and get idiomatic solutions.
What coding mistakes does Phantom Code help me avoid during Maximum Star Sum of a Graph interviews?
Phantom Code catches common mistakes like off-by-one errors, missing edge cases, incorrect base conditions, and suboptimal approaches. It provides clean, well-structured code that handles all edge cases.
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How does Phantom Code help when I'm struggling with Maximum Star Sum of a Graph style questions under pressure?
The AI provides structured guidance: first the approach (what algorithm/data structure to use and why), then the implementation with clean code, and finally complexity analysis. This helps you think clearly even under pressure.
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Yes. Phantom Code works with all major coding platforms including LeetCode, HackerRank, CodeSignal, CoderPad, HackerEarth, and any browser-based coding environment.
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