A SIMPLE PROOF OF A THEOREM OF MOTZKIN,

Abstract

It is proved that if G is a 3-valent planar graph, each of whose connected components is 2-connected, such that each face of G has a number of sides which is a multiple of 3, then the number of faces of G has parity different from the parity of the number of connected components of G.

Document Details

Document Type
Technical Report
Publication Date
Jan 01, 1964
Accession Number
AD0619762

Entities

People

  • Branko Grunbaum

Organizations

  • Hebrew University of Jerusalem

Tags

Fields of Study

  • Mathematics

Readers

  • Graph Algorithms and Convex Optimization.