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How to Solve Maximum Sum of Edge Values in a Graph Problem

Master the Maximum Sum of Edge Values in a Graph LeetCode problem with undetectable real-time assistance. Get instant solutions and explanations during your coding interviews.

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Hard#3547

LeetCode Problem

Maximum Sum of Edge Values in a Graph

You are given an undirected connected graph of n nodes, numbered from 0 to n - 1. Each node is connected to at most 2 other nodes. The graph consists of m edges, represented by a 2D array edges, where edges[i] = [ai, bi] indicates that there is an edge between nodes ai and bi. You have to assign a unique value from 1 to n to each node. The value of an edge will be the product of the values assigned to the two nodes it connects. Your score is the sum of the values of all edges in the graph. Return the maximum score you can achieve.

GreedyDepth-First SearchGraphSorting

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Problem Breakdown

Understanding the Maximum Sum of Edge Values in a Graph Problem

Let's break down this LeetCode problem and understand what makes it challenging in interview settings.

Problem Statement

HardProblem #3547

LeetCode

Maximum Sum of Edge Values in a Graph

How Phantom Code Helps

Get real-time assistance for Maximum Sum of Edge Values in a Graph problems during coding interviews. Phantom Code provides instant solutions and explanations.

Examples

# Example 1

Input

n = 4, edges = [[0,1],[1,2],[2,3]]

Output

# Example 2

Input

n = 6, edges = [[0,3],[4,5],[2,0],[1,3],[2,4],[1,5]]

Output

Constraints

1 <= n <= 5 * 104

m == edges.length

1 <= m <= n

edges[i].length == 2

0 <= ai, bi < n

ai != bi

There are no repeated edges.

The graph is connected.

Each node is connected to at most 2 other nodes.

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Solve Maximum Sum of Edge Values in a Graph — You are given an undirected connected graph of n nodes, numbered from 0 to n - 1...

Here's the optimal approach using Greedy:

def solve(input):

# Optimal O(n) solution

return result

Time: O(n) | Space: O(n)

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Google Meet

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Platform compatibility and limitations

We work with Zoom, HackerRank, CodeSignal, CoderPad and other web-based platforms. Check the compatibility note and request a browser link if a specific desktop app is unsupported.

Frequently Asked Questions

Common questions about solving Maximum Sum of Edge Values in a Graph and using Phantom Code during coding interviews.

How does Phantom Code help me solve coding problems like Maximum Sum of Edge Values in 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 Sum of Edge Values in 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 Sum of Edge Values in 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 Sum of Edge Values in 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 Sum of Edge Values in 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.

Is Phantom Code detectable when solving problems like Maximum Sum of Edge Values in a Graph during live interviews?

No. Phantom Code runs as an invisible desktop overlay that doesn't appear in screen shares, recordings, or proctoring software. It works with Zoom, HackerRank, CodeSignal, CoderPad, and all major platforms.

How does Phantom Code help when I'm struggling with Maximum Sum of Edge Values in 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.

Does Phantom Code work for the coding platforms used in Maximum Sum of Edge Values in a Graph interviews?

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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