منابع مشابه
On net-Laplacian Energy of Signed Graphs
A signed graph is a graph where the edges are assigned either positive ornegative signs. Net degree of a signed graph is the dierence between the number ofpositive and negative edges incident with a vertex. It is said to be net-regular if all itsvertices have the same net-degree. Laplacian energy of a signed graph is defined asε(L(Σ)) =|γ_1-(2m)/n|+...+|γ_n-(2m)/n| where γ_1,...,γ_n are the ei...
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An st-path is a path with the end-vertices s and t. An s-path is a path with an end-vertex s. The results of this paper include necessary and sufficient conditions for a {claw, net}-free graph G with s, t ∈ V (G) and e ∈ E(G) to have (1) a Hamiltonian s-path, (2) a Hamiltonian st-path, (3) a Hamiltonian sand st-paths containing e when G has connectivity one, and (4) a Hamiltonian cycle containi...
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Today large amounts of data are stored on tertiary storage media such as magnetic tapes and optical disks. DBMSs typically operate only on magnetic disks since they know how to maneuver disks and how to optimize accesses on them. Tertiary devices present a problem for DBMSs since these devices have dismountable media and have very diier-ent operational characteristics compared to magnetic disks...
متن کاملOn linear and circular structure of (claw, net)-free graphs
We prove that every (claw, net)-free graph contains an induced doubly dominating cycle or a dominating pair. Moreover, using LexBFS we present a linear time algorithm which, for a given (claw, net)-free graph, 3nds either a dominating pair or an induced doubly dominating cycle. We show also how one can use structural properties of (claw, net)-free graphs to solve e4ciently the domination, indep...
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ژورنال
عنوان ژورنال: Journal of Mathematics Research
سال: 2011
ISSN: 1916-9809,1916-9795
DOI: 10.5539/jmr.v3n1p148