Tuesday
July 22, 2014

# Homework Help: Geometry

Posted by Jason on Wednesday, March 27, 2013 at 11:53pm.

The vertices of a regular 10-gon are labeled V_1, V_2, \ldots V_n, which is a permutation of \{ 1, 2, \ldots, 10\}. Define a neighboring sum to be the sum of 3 consecutive vertices V_i, V_{i+1} and V_{i+2} [where V_{11}=V_1, V_{12}=V_2]. For each permutation \sigma, let N_\sigma denote the maximum neighboring sum. As \sigma ranges over all permutations, what is the minimum value of N_\sigma?

Related Questions

Geometry - Let S = \{ 1, 2, 3, \ldots 12\} and T_1, T_2, \ldots T_a be subsets ...
Geometry - Determine the number of subsets of A=\{1, 2, \ldots, 10\} whose sum ...
geometry - The Polygon Angle-Sum Theorem states the following: The sum of the ...
Math (Algebra) - <p>What is the remainder when \(5\times 55\times 555 \...
physics - Water flows through a horizontal tube of diameter 2.7 cm that is ...
Physics - (a) In the diagram above the small semi-circle in the wire above R_1 ...
Maths - The vertices of a cube are labeled with the numbers 0,1,2,3,4,5,6 and 7...
quiz - The vertices of a cube are labeled with the numbers 0,1,2,3,4,5,6 and 7, ...
math - There is one step in a proof that I don't understand. Could someone ...
Physics - For no apparent reason, a poodle is running counter-clockwise at a ...

Search
Members