Edge, vertex and mixed fault-diameters

Iztok Banič (Avtor), Rija Erveš (Avtor), Janez Žerovnik (Avtor)

Povzetek

Let ▫${\mathcal{D}}^E_q(G)$▫ denote the diameter of a graph ▫$G$▫ after deleting any of its ▫$q$▫ edges, and ▫${\mathcal{D}}^V_p(G)$▫ denote the diameter of ▫$G$▫ after deleting any of its ▫$p$▫ vertices. We prove that ▫${\mathcal{D}}^E_a(G) \le {\mathcal{D}}^V_a(G) + 1$▫ a for all meaningful ▫$a$▫. We also define mixed fault diameter ▫${\mathcal{D}}^M_{(p,q)}(G)$▫, where ▫$p$▫ vertices and ▫$q$▫ edges are deleted at the same time. We prove that for ▫$0 < l \le a$▫, ▫${\mathcal{D}}^E_a(G) \le {\mathcal{D}}^M_{(a-l,l)}(G) \le {\mathcal{D}}^V_a(G) + 1$▫, and give some examples.

Ključne besede

matematika;teorija grafov;povezanost;mathematics;(vertex)-connectivity;edge-connectivity;(vertex) fault-diameter;edge-fault diameter;interconnection network;

Podatki

Jezik:	Angleški jezik
Leto izida:	2008
Tipologija:	0 - Ni določena
Organizacija:	UL FS - Fakulteta za strojništvo
UDK:	519.17
COBISS:	14912345
ISSN:	1318-4865
Št. ogledov:	769
Št. prenosov:	76
Ocena:	0 (0 glasov)
Metapodatki:

Ostali podatki

Sekundarni jezik:	Neznan jezik
Sekundarne ključne besede:	matematika;teorija grafov;povezanost;
URN:	URN:SI:UM:
Vrsta dela (COBISS):	Delo ni kategorizirano
Strani:	str. 1-10
Letnik:	ǂVol. ǂ46
Zvezek:	ǂšt. ǂ1058
Čas izdaje:	2008
ID:	67474