Nonexistence of graphs with cyclic defect

Result code in IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F49777513%3A23520%2F11%3A43897049" target="_blank" >RIV/49777513:23520/11:43897049 - isvavai.cz</a>

Result on the web

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DOI - Digital Object Identifier

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Result language

angličtina

Original language name

Nonexistence of graphs with cyclic defect

Original language description

In this note we consider graphs of order M ? 2, where M is the Moore bound (for the given values of maximum degree and diameter), that is, graphs of defect 2. Delorme and Pineda-Villavicencio conjectured that such graphs do not exist for diameter at least 3 if they have the so called 'cyclic defect'. Here we prove that this conjecture holds.

Czech name

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Czech description

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Type

J_x - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)

CEP classification

BA - General mathematics

OECD FORD branch

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Project

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Continuities

I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Publication year

2011

Confidentiality

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

Name of the periodical

ELECTRONIC JOURNAL OF COMBINATORICS

ISSN

1077-8926

e-ISSN

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Volume of the periodical

18

Issue of the periodical within the volume

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Country of publishing house

US - UNITED STATES

Number of pages

5

Pages from-to

1-5

UT code for WoS article

000288981700004

EID of the result in the Scopus database

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