Brian Cloteaux - A Sufficient Condition for Graphic Sequences with Given Largest and Smallest Entries, Length, and Sum

dmtcs:2175 - Discrete Mathematics & Theoretical Computer Science, June 25, 2018, Vol. 20 no. 1 - https://doi.org/10.23638/DMTCS-20-1-25
A Sufficient Condition for Graphic Sequences with Given Largest and Smallest Entries, Length, and Sum

Authors: Brian Cloteaux

    We give a sufficient condition for a degree sequence to be graphic based on its largest and smallest elements, length, and sum. This bound generalizes a result of Zverovich and Zverovich.

    https://doi.org/10.23638/DMTCS-20-1-25
    Source: arXiv.org:1607.03836
    Volume: Vol. 20 no. 1
    Section: Graph Theory
    Published on: June 25, 2018
    Accepted on: June 14, 2018
    Submitted on: March 9, 2017
    Keywords: Mathematics - Combinatorics
    Licence: arXiv.org - Non-exclusive license to distribute

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