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A Local Approach to the Erdős-Sós Conjecture

The result's identifiers

  • Result code in IS VaVaI

    <a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F67985807%3A_____%2F19%3A00504792" target="_blank" >RIV/67985807:_____/19:00504792 - isvavai.cz</a>

  • Result on the web

    <a href="http://dx.doi.org/10.1137/18M118195X" target="_blank" >http://dx.doi.org/10.1137/18M118195X</a>

  • DOI - Digital Object Identifier

    <a href="http://dx.doi.org/10.1137/18M118195X" target="_blank" >10.1137/18M118195X</a>

Alternative languages

  • Result language

    angličtina

  • Original language name

    A Local Approach to the Erdős-Sós Conjecture

  • Original language description

    A famous conjecture of Erdős-Sós states that every graph with average degree more than k-1 contains all trees with k edges as subgraphs. We prove that the Erdős-Sós conjecture holds approximately, if the size of the embedded tree is linear in the size of the graph, and the maximum degree of the tree is sublinear.

  • Czech name

  • Czech description

Classification

  • Type

    J<sub>imp</sub> - Article in a specialist periodical, which is included in the Web of Science database

  • CEP classification

  • OECD FORD branch

    10101 - Pure mathematics

Result continuities

  • Project

    <a href="/en/project/GJ16-07822Y" target="_blank" >GJ16-07822Y: Extremal graph theory and applications</a><br>

  • Continuities

    I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Others

  • Publication year

    2019

  • Confidentiality

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

Data specific for result type

  • Name of the periodical

    SIAM Journal on Discrete Mathematics

  • ISSN

    0895-4801

  • e-ISSN

  • Volume of the periodical

    33

  • Issue of the periodical within the volume

    2

  • Country of publishing house

    US - UNITED STATES

  • Number of pages

    22

  • Pages from-to

    643-664

  • UT code for WoS article

    000473031300004

  • EID of the result in the Scopus database

    2-s2.0-85069647119