Connected Domination Number and a New Invariant in Graphs with Independence Number Three
Închide
Conţinutul numărului revistei
Articolul precedent
Articolul urmator
357 6
Ultima descărcare din IBN:
2022-02-03 12:39
Căutarea după subiecte
similare conform CZU
519.17 (68)
Analiză combinatorică. Teoria grafurilor (115)
SM ISO690:2012
BERCOV, Vladimir. Connected Domination Number and a New Invariant in Graphs with Independence Number Three. In: Computer Science Journal of Moldova, 2021, nr. 1(85), pp. 96-104. ISSN 1561-4042.
EXPORT metadate:
Google Scholar
Crossref
CERIF

DataCite
Dublin Core
Computer Science Journal of Moldova
Numărul 1(85) / 2021 / ISSN 1561-4042 /ISSNe 2587-4330

Connected Domination Number and a New Invariant in Graphs with Independence Number Three

CZU: 519.17

Pag. 96-104

Bercov Vladimir
 
Department of Mathematics BMCC CUNY
 
 
Disponibil în IBN: 24 aprilie 2021


Rezumat

Adding a connected dominating set of vertices to a graph G increases its number of Hadwiger h(G). Based on this obvious property in [2] we introduced a new invariant (G) for which (G) ≤ h(G). We continue to study its property. For a graph G with independence number three without induced chordless cycles C7 and with n(G) vertices, (G) ≥ n(G)/4.

Cuvinte-cheie
dominating set, number of Hadwiger, clique number, Independence number

DataCite XML Export

<?xml version='1.0' encoding='utf-8'?>
<resource xmlns:xsi='http://www.w3.org/2001/XMLSchema-instance' xmlns='http://datacite.org/schema/kernel-3' xsi:schemaLocation='http://datacite.org/schema/kernel-3 http://schema.datacite.org/meta/kernel-3/metadata.xsd'>
<creators>
<creator>
<creatorName>Bercov, V.</creatorName>
<affiliation>Department of Mathematics BMCC CUNY, Statele Unite ale Americii</affiliation>
</creator>
</creators>
<titles>
<title xml:lang='en'>Connected Domination Number and a New Invariant in Graphs with Independence Number Three</title>
</titles>
<publisher>Instrumentul Bibliometric National</publisher>
<publicationYear>2021</publicationYear>
<relatedIdentifier relatedIdentifierType='ISSN' relationType='IsPartOf'>1561-4042</relatedIdentifier>
<subjects>
<subject>dominating set</subject>
<subject>number of Hadwiger</subject>
<subject>clique
number</subject>
<subject>Independence number</subject>
<subject schemeURI='http://udcdata.info/' subjectScheme='UDC'>519.17</subject>
</subjects>
<dates>
<date dateType='Issued'>2021-03-01</date>
</dates>
<resourceType resourceTypeGeneral='Text'>Journal article</resourceType>
<descriptions>
<description xml:lang='en' descriptionType='Abstract'><p>Adding a connected dominating set of vertices to a graph G increases its number of Hadwiger h(G). Based on this obvious property in [2] we introduced a new invariant (G) for which (G) &le; h(G). We continue to study its property. For a graph G with independence number three without induced chordless cycles C7 and with n(G) vertices, (G) &ge; n(G)/4.</p></description>
</descriptions>
<formats>
<format>application/pdf</format>
</formats>
</resource>