Matches in SemOpenAlex for { <https://semopenalex.org/work/W2752443002> ?p ?o ?g. }
Showing items 1 to 83 of
83
with 100 items per page.
- W2752443002 abstract "We prove the following results solving a problem raised in [Y. Caro, R. Yuster, On zero-sum and almost zero-sum subgraphs over $mathbb{Z}$, Graphs Combin. 32 (2016), 49--63]. For a positive integer $mgeq 2$, $mneq 4$, there are infinitely many values of $n$ such that the following holds: There is a weighting function $f:E(K_n)to {-1,1}$ (and hence a weighting function $f: E(K_n)to {-1,0,1}$), such that $sum_{ein E(K_n)}f(e)=0$ but, for every copy $H$ of $K_m$ in $K_n$, $sum_{ein E(H)}f(e)neq 0$. On the other hand, for every integer $ngeq 5$ and every weighting function $f:E(K_n)to {-1,1}$ such that $|sum_{ein E(K_n)}f(e)|leq binom{n}{2}-h(n)$, where $h(n)=2(n+1)$ if $n equiv 0$ (mod $4$) and $h(n)=2n$ if $n notequiv 0$ (mod $4$), there is always a copy $H$ of $K_4$ in $K_n$ for which $sum_{ein E(H)}f(e)=0$, and the value of $h(n)$ is sharp." @default.
- W2752443002 created "2017-09-15" @default.
- W2752443002 creator A5000697501 @default.
- W2752443002 creator A5020953030 @default.
- W2752443002 creator A5027898859 @default.
- W2752443002 date "2017-08-31" @default.
- W2752443002 modified "2023-09-27" @default.
- W2752443002 title "Zero-sum $K_m$ over $mathbb{Z}$ and the story of $K_4$" @default.
- W2752443002 cites W1980963720 @default.
- W2752443002 cites W1999553816 @default.
- W2752443002 cites W2041751740 @default.
- W2752443002 cites W2045336254 @default.
- W2752443002 cites W2058348494 @default.
- W2752443002 cites W2094893230 @default.
- W2752443002 cites W2103623492 @default.
- W2752443002 cites W2109832592 @default.
- W2752443002 cites W2119185071 @default.
- W2752443002 cites W2162227392 @default.
- W2752443002 cites W2162728081 @default.
- W2752443002 hasPublicationYear "2017" @default.
- W2752443002 type Work @default.
- W2752443002 sameAs 2752443002 @default.
- W2752443002 citedByCount "1" @default.
- W2752443002 countsByYear W27524430022018 @default.
- W2752443002 crossrefType "posted-content" @default.
- W2752443002 hasAuthorship W2752443002A5000697501 @default.
- W2752443002 hasAuthorship W2752443002A5020953030 @default.
- W2752443002 hasAuthorship W2752443002A5027898859 @default.
- W2752443002 hasConcept C114614502 @default.
- W2752443002 hasConcept C121332964 @default.
- W2752443002 hasConcept C138885662 @default.
- W2752443002 hasConcept C14036430 @default.
- W2752443002 hasConcept C183115368 @default.
- W2752443002 hasConcept C199360897 @default.
- W2752443002 hasConcept C24890656 @default.
- W2752443002 hasConcept C2780813799 @default.
- W2752443002 hasConcept C33923547 @default.
- W2752443002 hasConcept C41008148 @default.
- W2752443002 hasConcept C41895202 @default.
- W2752443002 hasConcept C78458016 @default.
- W2752443002 hasConcept C86803240 @default.
- W2752443002 hasConcept C97137487 @default.
- W2752443002 hasConceptScore W2752443002C114614502 @default.
- W2752443002 hasConceptScore W2752443002C121332964 @default.
- W2752443002 hasConceptScore W2752443002C138885662 @default.
- W2752443002 hasConceptScore W2752443002C14036430 @default.
- W2752443002 hasConceptScore W2752443002C183115368 @default.
- W2752443002 hasConceptScore W2752443002C199360897 @default.
- W2752443002 hasConceptScore W2752443002C24890656 @default.
- W2752443002 hasConceptScore W2752443002C2780813799 @default.
- W2752443002 hasConceptScore W2752443002C33923547 @default.
- W2752443002 hasConceptScore W2752443002C41008148 @default.
- W2752443002 hasConceptScore W2752443002C41895202 @default.
- W2752443002 hasConceptScore W2752443002C78458016 @default.
- W2752443002 hasConceptScore W2752443002C86803240 @default.
- W2752443002 hasConceptScore W2752443002C97137487 @default.
- W2752443002 hasLocation W27524430021 @default.
- W2752443002 hasOpenAccess W2752443002 @default.
- W2752443002 hasPrimaryLocation W27524430021 @default.
- W2752443002 hasRelatedWork W1532521449 @default.
- W2752443002 hasRelatedWork W1539601113 @default.
- W2752443002 hasRelatedWork W2006160103 @default.
- W2752443002 hasRelatedWork W2040464386 @default.
- W2752443002 hasRelatedWork W2058782410 @default.
- W2752443002 hasRelatedWork W2079759918 @default.
- W2752443002 hasRelatedWork W2089487406 @default.
- W2752443002 hasRelatedWork W2126094905 @default.
- W2752443002 hasRelatedWork W2357645811 @default.
- W2752443002 hasRelatedWork W2358152512 @default.
- W2752443002 hasRelatedWork W2362853315 @default.
- W2752443002 hasRelatedWork W2381931553 @default.
- W2752443002 hasRelatedWork W2385004694 @default.
- W2752443002 hasRelatedWork W2607334435 @default.
- W2752443002 hasRelatedWork W2790311351 @default.
- W2752443002 hasRelatedWork W2910752446 @default.
- W2752443002 hasRelatedWork W2951980070 @default.
- W2752443002 hasRelatedWork W2952941319 @default.
- W2752443002 hasRelatedWork W3007661098 @default.
- W2752443002 hasRelatedWork W3213509930 @default.
- W2752443002 isParatext "false" @default.
- W2752443002 isRetracted "false" @default.
- W2752443002 magId "2752443002" @default.
- W2752443002 workType "article" @default.