Matches in SemOpenAlex for { <https://semopenalex.org/work/W2917911660> ?p ?o ?g. }
Showing items 1 to 86 of
86
with 100 items per page.
- W2917911660 abstract "For a fixed positive integer $n$ and an $r$-uniform hypergraph $H$, the Tur'an number $ex(n,H)$ is the maximum number of edges in an $H$-free $r$-uniform hypergraph on $n$ vertices, and the Lagrangian density of $H$ is defined as $pi_{lambda}(H)=sup {r! lambda(G) : G ;text{is an}; Htext{-free} ;rtext{-uniform hypergraph}}$, where $lambda(G)$ is the Lagrangian of $G$. For an $r$-uniform hypergraph $H$ on $t$ vertices, it is clear that $pi_{lambda}(H)ge r!lambda{(K_{t-1}^r)}$. We say that an $r$-uniform hypergraph $H$ on $t$ vertices is perfect if $pi_{lambda}(H)= r!lambda{(K_{t-1}^r)}$. Let $P_t={e_1, e_2, dots, e_t}$ be the linear $3$-uniform path of length $t$, that is, $|e_i|=3$, $|e_i cap e_{i+1}|=1$ and $e_i cap e_j=emptyset$ if $|i-j|ge 2$. We show that $P_3$ and $P_4$ are perfect, this supports a conjecture in cite{yanpeng} proposing that all $3$-uniform linear hypergraphs are perfect. Applying the results on Lagrangian densities, we determine the Tur'an numbers of their extensions." @default.
- W2917911660 created "2019-03-02" @default.
- W2917911660 creator A5010855963 @default.
- W2917911660 creator A5062098863 @default.
- W2917911660 date "2019-02-17" @default.
- W2917911660 modified "2023-09-27" @default.
- W2917911660 title "Lagrangian densities of short 3-uniform linear paths and Tur'an numbers of their extensions" @default.
- W2917911660 cites W1551103917 @default.
- W2917911660 cites W1978688508 @default.
- W2917911660 cites W1989410413 @default.
- W2917911660 cites W2027470314 @default.
- W2917911660 cites W2049090616 @default.
- W2917911660 cites W2119209757 @default.
- W2917911660 cites W2119362633 @default.
- W2917911660 cites W2582449130 @default.
- W2917911660 cites W2730494929 @default.
- W2917911660 cites W2762372415 @default.
- W2917911660 cites W2807653645 @default.
- W2917911660 cites W2899043189 @default.
- W2917911660 cites W2952676414 @default.
- W2917911660 cites W2963003471 @default.
- W2917911660 cites W2963239748 @default.
- W2917911660 cites W2963283234 @default.
- W2917911660 cites W2963591767 @default.
- W2917911660 hasPublicationYear "2019" @default.
- W2917911660 type Work @default.
- W2917911660 sameAs 2917911660 @default.
- W2917911660 citedByCount "0" @default.
- W2917911660 crossrefType "posted-content" @default.
- W2917911660 hasAuthorship W2917911660A5010855963 @default.
- W2917911660 hasAuthorship W2917911660A5062098863 @default.
- W2917911660 hasConcept C114614502 @default.
- W2917911660 hasConcept C118615104 @default.
- W2917911660 hasConcept C121332964 @default.
- W2917911660 hasConcept C134306372 @default.
- W2917911660 hasConcept C199360897 @default.
- W2917911660 hasConcept C2777735758 @default.
- W2917911660 hasConcept C2778113609 @default.
- W2917911660 hasConcept C2780990831 @default.
- W2917911660 hasConcept C2781221856 @default.
- W2917911660 hasConcept C33923547 @default.
- W2917911660 hasConcept C41008148 @default.
- W2917911660 hasConcept C53469067 @default.
- W2917911660 hasConcept C62520636 @default.
- W2917911660 hasConcept C97137487 @default.
- W2917911660 hasConceptScore W2917911660C114614502 @default.
- W2917911660 hasConceptScore W2917911660C118615104 @default.
- W2917911660 hasConceptScore W2917911660C121332964 @default.
- W2917911660 hasConceptScore W2917911660C134306372 @default.
- W2917911660 hasConceptScore W2917911660C199360897 @default.
- W2917911660 hasConceptScore W2917911660C2777735758 @default.
- W2917911660 hasConceptScore W2917911660C2778113609 @default.
- W2917911660 hasConceptScore W2917911660C2780990831 @default.
- W2917911660 hasConceptScore W2917911660C2781221856 @default.
- W2917911660 hasConceptScore W2917911660C33923547 @default.
- W2917911660 hasConceptScore W2917911660C41008148 @default.
- W2917911660 hasConceptScore W2917911660C53469067 @default.
- W2917911660 hasConceptScore W2917911660C62520636 @default.
- W2917911660 hasConceptScore W2917911660C97137487 @default.
- W2917911660 hasLocation W29179116601 @default.
- W2917911660 hasOpenAccess W2917911660 @default.
- W2917911660 hasPrimaryLocation W29179116601 @default.
- W2917911660 hasRelatedWork W2131486755 @default.
- W2917911660 hasRelatedWork W2181694489 @default.
- W2917911660 hasRelatedWork W2205584677 @default.
- W2917911660 hasRelatedWork W2224556402 @default.
- W2917911660 hasRelatedWork W2254234718 @default.
- W2917911660 hasRelatedWork W2264868302 @default.
- W2917911660 hasRelatedWork W2789061193 @default.
- W2917911660 hasRelatedWork W2794641614 @default.
- W2917911660 hasRelatedWork W2905064879 @default.
- W2917911660 hasRelatedWork W2910726126 @default.
- W2917911660 hasRelatedWork W2951761885 @default.
- W2917911660 hasRelatedWork W2952763673 @default.
- W2917911660 hasRelatedWork W2953177174 @default.
- W2917911660 hasRelatedWork W2963148305 @default.
- W2917911660 hasRelatedWork W2963170319 @default.
- W2917911660 hasRelatedWork W2963961699 @default.
- W2917911660 hasRelatedWork W3006250968 @default.
- W2917911660 hasRelatedWork W3083748206 @default.
- W2917911660 hasRelatedWork W3205324233 @default.
- W2917911660 hasRelatedWork W2421265134 @default.
- W2917911660 isParatext "false" @default.
- W2917911660 isRetracted "false" @default.
- W2917911660 magId "2917911660" @default.
- W2917911660 workType "article" @default.