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1.
Hamilton cycle and Hamilton path extendability of Cayley graphs on abelian groups
Štefko Miklavič, Primož Šparl, 2012, izvirni znanstveni članek

Opis: In this paper the concepts of Hamilton cycle (HC) and Hamilton path (HP) extendability are introduced. A connected graph ▫$\Gamma$▫ is ▫$n$▫-HC-extendable if it contains a path of length ▫$n$▫ and if every such path is contained in some Hamilton cycle of ▫$\Gamma$▫. Similarly, ▫$\Gamma$▫ is weakly ▫$n$▫-HP-extendable if it contains a path of length ▫$n$▫ and if every such path is contained in some Hamilton path of ▫$\Gamma$▫. Moreover, ▫$\Gamma$▫ is strongly ▫$n$▫-HP-extendable if it contains a path of length ▫$n$▫ and if for every such path $P$ there is a Hamilton path of ▫$\Gamma$▫ starting with ▫$P$▫. These concepts are then studied for the class of connected Cayley graphs on abelian groups. It is proved that every connected Cayley graph on an abelian group of order at least three is 2-HC-extendable and a complete classification of 3-HC-extendable connected Cayley graphs of abelian groups is obtained. Moreover, it is proved that every connected Cayley graph on an abelian group of order at least five is weakly 4-HP-extendable.
Najdeno v: ključnih besedah
Povzetek najdenega: ......
Ključne besede: graph theory, Hamilton cycle, Hamilton path, n-HC-extendable, strongly n-HP-extendable, weakly n-HP-extendable, Cayley graph, abelian group
Objavljeno: 15.10.2013; Ogledov: 1217; Prenosov: 69
URL Polno besedilo (0,00 KB)

2.
Equistarable bipartite graphs
Martin Milanič, Endre Boros, Nina Chiarelli, 2015, izvirni znanstveni članek

Najdeno v: ključnih besedah
Povzetek najdenega: ......
Ključne besede: equistable graph, general partition graph, bipartite graph, equistarable graph, 2-extendable graph
Objavljeno: 03.04.2017; Ogledov: 748; Prenosov: 84
URL Polno besedilo (0,00 KB)

3.
On the extendability of quasi-strongly regular graphs with diameter 2
Hermina Alajbegović, Almir Huskanović, Štefko Miklavič, Primož Šparl, 2018, izvirni znanstveni članek

Najdeno v: ključnih besedah
Povzetek najdenega: ......
Ključne besede: regular graph, quasi-strongly regular graph, diameter 2, l-extendable
Objavljeno: 08.06.2018; Ogledov: 418; Prenosov: 65
URL Polno besedilo (0,00 KB)

4.
The classification of 2-extendable edge-regular graphs with diameter 2
Klavdija Kutnar, Dragan Marušič, Štefko Miklavič, Primož Šparl, 2019, izvirni znanstveni članek

Najdeno v: ključnih besedah
Povzetek najdenega: Zadetek v naslovu
Ključne besede: edge-regular, diameter, 2-extendable
Objavljeno: 13.02.2019; Ogledov: 169; Prenosov: 10
URL Polno besedilo (0,00 KB)

5.
Matching extensions in regular graphs with small diameter
Ivana Koroman, 2019, magistrsko delo

Najdeno v: ključnih besedah
Povzetek najdenega: ......
Ključne besede: l-extendable, l 1/2-extendable, regular graph, edge-regular graph, strongly regular graph, diameter 2, diameter 3
Objavljeno: 25.07.2019; Ogledov: 143; Prenosov: 1
URL Polno besedilo (0,00 KB)

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