Matches in SemOpenAlex for { <https://semopenalex.org/work/W4386044310> ?p ?o ?g. }
Showing items 1 to 71 of
71
with 100 items per page.
- W4386044310 abstract "In this paper, we give formulas for $v$-number of edge ideals of some graphs like path, cycle, 1-clique sum of a path and a cycle, 1-clique sum of two cycles and join of two graphs. For an $mathfrak{m}$-primary monomial ideal $Isubset S=K[x_1,ldots,x_t]$, we provide an explicit expression of $v$-number of $I$, denoted by $v(I)$, and give an upper bound of $v(I)$ in terms of the degree of its generators. We show that for a monomial ideal $I$, $v(I^{n+1})$ is bounded above by a linear polynomial for large $n$ and for certain classes of monomial ideals, the upper bound is achieved for all $ngeq 1$. For $mathfrak m$-primary monomial ideal $I$ we prove that $v(I)leq$ reg$(S/I)$ and their difference can be arbitrarily large." @default.
- W4386044310 created "2023-08-22" @default.
- W4386044310 creator A5002440260 @default.
- W4386044310 creator A5004073616 @default.
- W4386044310 date "2023-08-16" @default.
- W4386044310 modified "2023-09-25" @default.
- W4386044310 title "A study of $v$-number for some monomial ideals" @default.
- W4386044310 doi "https://doi.org/10.48550/arxiv.2308.08604" @default.
- W4386044310 hasPublicationYear "2023" @default.
- W4386044310 type Work @default.
- W4386044310 citedByCount "0" @default.
- W4386044310 crossrefType "posted-content" @default.
- W4386044310 hasAuthorship W4386044310A5002440260 @default.
- W4386044310 hasAuthorship W4386044310A5004073616 @default.
- W4386044310 hasBestOaLocation W43860443101 @default.
- W4386044310 hasConcept C111472728 @default.
- W4386044310 hasConcept C11252640 @default.
- W4386044310 hasConcept C114614502 @default.
- W4386044310 hasConcept C118615104 @default.
- W4386044310 hasConcept C121332964 @default.
- W4386044310 hasConcept C134306372 @default.
- W4386044310 hasConcept C138885662 @default.
- W4386044310 hasConcept C199360897 @default.
- W4386044310 hasConcept C24890656 @default.
- W4386044310 hasConcept C2775997480 @default.
- W4386044310 hasConcept C2776639384 @default.
- W4386044310 hasConcept C2777035058 @default.
- W4386044310 hasConcept C2777735758 @default.
- W4386044310 hasConcept C2777789435 @default.
- W4386044310 hasConcept C33923547 @default.
- W4386044310 hasConcept C34388435 @default.
- W4386044310 hasConcept C41008148 @default.
- W4386044310 hasConcept C77553402 @default.
- W4386044310 hasConcept C90119067 @default.
- W4386044310 hasConcept C9485509 @default.
- W4386044310 hasConceptScore W4386044310C111472728 @default.
- W4386044310 hasConceptScore W4386044310C11252640 @default.
- W4386044310 hasConceptScore W4386044310C114614502 @default.
- W4386044310 hasConceptScore W4386044310C118615104 @default.
- W4386044310 hasConceptScore W4386044310C121332964 @default.
- W4386044310 hasConceptScore W4386044310C134306372 @default.
- W4386044310 hasConceptScore W4386044310C138885662 @default.
- W4386044310 hasConceptScore W4386044310C199360897 @default.
- W4386044310 hasConceptScore W4386044310C24890656 @default.
- W4386044310 hasConceptScore W4386044310C2775997480 @default.
- W4386044310 hasConceptScore W4386044310C2776639384 @default.
- W4386044310 hasConceptScore W4386044310C2777035058 @default.
- W4386044310 hasConceptScore W4386044310C2777735758 @default.
- W4386044310 hasConceptScore W4386044310C2777789435 @default.
- W4386044310 hasConceptScore W4386044310C33923547 @default.
- W4386044310 hasConceptScore W4386044310C34388435 @default.
- W4386044310 hasConceptScore W4386044310C41008148 @default.
- W4386044310 hasConceptScore W4386044310C77553402 @default.
- W4386044310 hasConceptScore W4386044310C90119067 @default.
- W4386044310 hasConceptScore W4386044310C9485509 @default.
- W4386044310 hasLocation W43860443101 @default.
- W4386044310 hasOpenAccess W4386044310 @default.
- W4386044310 hasPrimaryLocation W43860443101 @default.
- W4386044310 hasRelatedWork W1488896889 @default.
- W4386044310 hasRelatedWork W1653027350 @default.
- W4386044310 hasRelatedWork W1977013452 @default.
- W4386044310 hasRelatedWork W1988302763 @default.
- W4386044310 hasRelatedWork W2034027554 @default.
- W4386044310 hasRelatedWork W2100272829 @default.
- W4386044310 hasRelatedWork W2949963146 @default.
- W4386044310 hasRelatedWork W2950419021 @default.
- W4386044310 hasRelatedWork W3131141698 @default.
- W4386044310 hasRelatedWork W4301463618 @default.
- W4386044310 isParatext "false" @default.
- W4386044310 isRetracted "false" @default.
- W4386044310 workType "article" @default.