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Degree Diameter Problem on Triangular Networks

The result's identifiers

  • Result code in IS VaVaI

    <a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F49777513%3A23520%2F15%3A43927110" target="_blank" >RIV/49777513:23520/15:43927110 - isvavai.cz</a>

  • Result on the web

  • DOI - Digital Object Identifier

Alternative languages

  • Result language

    angličtina

  • Original language name

    Degree Diameter Problem on Triangular Networks

  • Original language description

    The degree diameter problem involves finding the largest graph (in terms of number of vertices) subject to constraints on the degree and the diameter of the graph. Beyond the degree constraint there is no restriction on the number of edges (apart from keeping the graph simple) so the resulting graph may be thought of as being embedded in the complete graph. In a generalisation of this problem, the graph is considered to be embedded in some connected host graph. This article considers embedding the graphin the triangular grid and provides some exact values and some upper and lower bounds for the optimal graphs. Moreover, all the optimal graphs are 2-connected, without this constraints no larger graphs were found.

  • Czech name

  • Czech description

Classification

  • Type

    J<sub>x</sub> - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)

  • CEP classification

    BA - General mathematics

  • OECD FORD branch

Result continuities

  • Project

    <a href="/en/project/GBP202%2F12%2FG061" target="_blank" >GBP202/12/G061: Center of excellence - Institute for theoretical computer science (CE-ITI)</a><br>

  • Continuities

    P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)

Others

  • Publication year

    2015

  • Confidentiality

    S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Data specific for result type

  • Name of the periodical

    Australasian Journal of Combinatorics

  • ISSN

    2202-3518

  • e-ISSN

  • Volume of the periodical

    63

  • Issue of the periodical within the volume

    3

  • Country of publishing house

    AU - AUSTRALIA

  • Number of pages

    13

  • Pages from-to

    333-345

  • UT code for WoS article

    000364578700024

  • EID of the result in the Scopus database