Java Solution Required Only You're given a simple undirected graph G with N vertices and M edges. You have to assign, to each vertex i, a number C; such that 1 ≤ C; < N and Vij, C; # Cj. For any such assignment, we define D; to be the number of neighbours j of i such that C; < C₁. You want to minimise maxi (1..N) Di - minic{1..N} Di. Output the minimum possible value of this expression for a valid assignment as described above, and also print the corresponding assignment.
Java Solution Required Only You're given a simple undirected graph G with N vertices and M edges. You have to assign, to each vertex i, a number C; such that 1 ≤ C; < N and Vij, C; # Cj. For any such assignment, we define D; to be the number of neighbours j of i such that C; < C₁. You want to minimise maxi (1..N) Di - minic{1..N} Di. Output the minimum possible value of this expression for a valid assignment as described above, and also print the corresponding assignment.
Database System Concepts
7th Edition
ISBN:9780078022159
Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Publisher:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Chapter1: Introduction
Section: Chapter Questions
Problem 1PE
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![Java Solution Required Only
You're given a simple undirected graph G with N vertices and M edges. You have to assign, to each
vertex i, a number C; such that 1 < 0; N and Vi‡j, C; ‡ Cj.
For any such assignment, we define D; to be the number of neighbours j of i such that C; < C₁.
You want to minimise maxi{1..N) Di - minic{1..N} Di.
Output the minimum possible value of this expression for a valid assignment as described above,
and also print the corresponding assignment.
Note:
• The given graph need not be connected.
. If there are multiple possible assignments, output anyone.
• Since the input is large, prefer using fast input-output methods.
Input
223
1
57
12
13
14
23
24
25
35
Output
2
32154](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F7cbae8c9-aaac-4666-8fd2-7c1d360cf6bc%2F36b4a2ac-e575-460c-ae3a-618df9957335%2Frryzhit_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Java Solution Required Only
You're given a simple undirected graph G with N vertices and M edges. You have to assign, to each
vertex i, a number C; such that 1 < 0; N and Vi‡j, C; ‡ Cj.
For any such assignment, we define D; to be the number of neighbours j of i such that C; < C₁.
You want to minimise maxi{1..N) Di - minic{1..N} Di.
Output the minimum possible value of this expression for a valid assignment as described above,
and also print the corresponding assignment.
Note:
• The given graph need not be connected.
. If there are multiple possible assignments, output anyone.
• Since the input is large, prefer using fast input-output methods.
Input
223
1
57
12
13
14
23
24
25
35
Output
2
32154
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