• What An Odd Cube!: Super Odd-sum Labeling of a Cube

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      Permanent link:
      https://www.ias.ac.in/article/fulltext/reso/026/11/1529-1537

    • Keywords

       

      Graph labeling, parity, path, rotation and reflection symmetries, navigation-wheel-with-2n-spokes, hypercube.

    • Abstract

       

      We propose a new puzzle: Label the eight vertices of a cube using distinct integers between 0 and 12 (both inclusive) such that the induced labeling of each edge, given by the sum of the labels of its end points, causes the 12 edges to be labeled with distinct odd numbers 1, 3, . . . 23.Any solution to the puzzle is called a super odd-sum labeling. We deftly discover all the super odd-sum labeling of the cube.

    • Author Affiliations

       

      Jyotirmoy Sarkar1

      1. Mathematical Sciences Indiana University-Purdue University Indianapolis 402 North Blackford Street Indianapolis, IN 46202, USA.
    • Dates

       

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