Matches in SemOpenAlex for { <https://semopenalex.org/work/W1567696985> ?p ?o ?g. }
Showing items 1 to 91 of
91
with 100 items per page.
- W1567696985 abstract "The communication power of the one-way and two-way edge-disjoint path modes for broadcast and gossip is investigated. The complexity of communication algorithms is measured by the number of communication steps (rounds). The main results achieved are the following:1.For each connected graph Gn of n nodes, the complexity of broadcast in Gn, Bmin(Gn), satisfies [log2n]≤Bmin(Gn)≤[log2n]+1. The complete binary trees meet the upper bound, and all graphs containing a Hamiltonian path meet the lower bound.2.For each connected graph Gn of n nodes, the one-way (two-way) gossip complexity R(Gn) (R2(Gn)) satisfies $$begin{gathered}leftlceil {log _2 n} rightrceil leqslant R^2 (G_n ) leqslant 2 cdot leftlceil {log _2 n} rightrceil + 1, hfill 1.44...log _2 n leqslant R(G_n ) leqslant 2 cdot leftlceil {log _2 n} rightrceil + 2. hfill end{gathered}$$. All these lower and upper bounds are tight.3.All planar graphs of n nodes and degree h have a two-way gossip complexity of at least 1.5log2n−log2log2n−0.5log2h−2, and the two-dimensional grid of n nodes has the gossip complexity 1.5log2n−log2log2n±O(1), i.e. two-dimensional grids are optimal gossip structures among planar graphs. Similar results are obtained for one-way mode too." @default.
- W1567696985 created "2016-06-24" @default.
- W1567696985 creator A5005407145 @default.
- W1567696985 creator A5018443640 @default.
- W1567696985 creator A5087525952 @default.
- W1567696985 creator A5088678782 @default.
- W1567696985 date "1994-01-01" @default.
- W1567696985 modified "2023-09-30" @default.
- W1567696985 title "Optimal algorithms for broadcast and gossip in the edge-disjoint path modes" @default.
- W1567696985 cites W1493602890 @default.
- W1567696985 cites W1515906195 @default.
- W1567696985 cites W1779312057 @default.
- W1567696985 cites W1889867397 @default.
- W1567696985 cites W1967162979 @default.
- W1567696985 cites W2049142782 @default.
- W1567696985 cites W2057706918 @default.
- W1567696985 cites W2069843743 @default.
- W1567696985 cites W2157066436 @default.
- W1567696985 cites W2275333073 @default.
- W1567696985 doi "https://doi.org/10.1007/3-540-58218-5_20" @default.
- W1567696985 hasPublicationYear "1994" @default.
- W1567696985 type Work @default.
- W1567696985 sameAs 1567696985 @default.
- W1567696985 citedByCount "7" @default.
- W1567696985 countsByYear W15676969852014 @default.
- W1567696985 crossrefType "book-chapter" @default.
- W1567696985 hasAuthorship W1567696985A5005407145 @default.
- W1567696985 hasAuthorship W1567696985A5018443640 @default.
- W1567696985 hasAuthorship W1567696985A5087525952 @default.
- W1567696985 hasAuthorship W1567696985A5088678782 @default.
- W1567696985 hasConcept C101837359 @default.
- W1567696985 hasConcept C114614502 @default.
- W1567696985 hasConcept C118615104 @default.
- W1567696985 hasConcept C132525143 @default.
- W1567696985 hasConcept C134306372 @default.
- W1567696985 hasConcept C15744967 @default.
- W1567696985 hasConcept C179145077 @default.
- W1567696985 hasConcept C199360897 @default.
- W1567696985 hasConcept C2777735758 @default.
- W1567696985 hasConcept C33923547 @default.
- W1567696985 hasConcept C41008148 @default.
- W1567696985 hasConcept C45340560 @default.
- W1567696985 hasConcept C62989814 @default.
- W1567696985 hasConcept C63553672 @default.
- W1567696985 hasConcept C77553402 @default.
- W1567696985 hasConcept C77805123 @default.
- W1567696985 hasConcept C86524685 @default.
- W1567696985 hasConceptScore W1567696985C101837359 @default.
- W1567696985 hasConceptScore W1567696985C114614502 @default.
- W1567696985 hasConceptScore W1567696985C118615104 @default.
- W1567696985 hasConceptScore W1567696985C132525143 @default.
- W1567696985 hasConceptScore W1567696985C134306372 @default.
- W1567696985 hasConceptScore W1567696985C15744967 @default.
- W1567696985 hasConceptScore W1567696985C179145077 @default.
- W1567696985 hasConceptScore W1567696985C199360897 @default.
- W1567696985 hasConceptScore W1567696985C2777735758 @default.
- W1567696985 hasConceptScore W1567696985C33923547 @default.
- W1567696985 hasConceptScore W1567696985C41008148 @default.
- W1567696985 hasConceptScore W1567696985C45340560 @default.
- W1567696985 hasConceptScore W1567696985C62989814 @default.
- W1567696985 hasConceptScore W1567696985C63553672 @default.
- W1567696985 hasConceptScore W1567696985C77553402 @default.
- W1567696985 hasConceptScore W1567696985C77805123 @default.
- W1567696985 hasConceptScore W1567696985C86524685 @default.
- W1567696985 hasLocation W15676969851 @default.
- W1567696985 hasOpenAccess W1567696985 @default.
- W1567696985 hasPrimaryLocation W15676969851 @default.
- W1567696985 hasRelatedWork W1608550999 @default.
- W1567696985 hasRelatedWork W1666717679 @default.
- W1567696985 hasRelatedWork W1876661458 @default.
- W1567696985 hasRelatedWork W1900943336 @default.
- W1567696985 hasRelatedWork W2060162472 @default.
- W1567696985 hasRelatedWork W2080750094 @default.
- W1567696985 hasRelatedWork W2102347446 @default.
- W1567696985 hasRelatedWork W2148219949 @default.
- W1567696985 hasRelatedWork W2157066436 @default.
- W1567696985 hasRelatedWork W2488670996 @default.
- W1567696985 hasRelatedWork W2569211293 @default.
- W1567696985 hasRelatedWork W2594847485 @default.
- W1567696985 hasRelatedWork W2623150993 @default.
- W1567696985 hasRelatedWork W2735650330 @default.
- W1567696985 hasRelatedWork W2977205563 @default.
- W1567696985 hasRelatedWork W3012397741 @default.
- W1567696985 hasRelatedWork W3154370415 @default.
- W1567696985 hasRelatedWork W3206214271 @default.
- W1567696985 hasRelatedWork W88197230 @default.
- W1567696985 hasRelatedWork W2181336043 @default.
- W1567696985 isParatext "false" @default.
- W1567696985 isRetracted "false" @default.
- W1567696985 magId "1567696985" @default.
- W1567696985 workType "book-chapter" @default.