Matches in SemOpenAlex for { <https://semopenalex.org/work/W4282020121> ?p ?o ?g. }
Showing items 1 to 52 of
52
with 100 items per page.
- W4282020121 abstract "For a graph $G = (V, E)$ embedded in the projective plane, let $mathcal{F}(G)$ denote the set of faces of $G$. Then, $G$ is called a $C_n$-face-magic projective graph if there exists a bijection $f: V(G) to {1, 2, dots, |V(G)|}$ such that for any $F in mathcal{F}(G)$ with $F cong C_n$, the sum of all the vertex labels around $C_n$ is a constant $S$. We consider the $m times n$ grid graph, denoted by $mathcal{P}_{m,n}$, embedded in the projective plane in the natural way. Let $m geqslant 3$ and $n geqslant 3$ be odd integers. It is known that the $C_4$-face-magic value of a $C_4$-face-magic labeling on $mathcal{P}_{m,n}$ is either $2mn+1$, $2mn+2$, or $2mn+3$. The characterization of $C_4$-face-magic labelings on $mathcal{P}_{m,n}$ having $C_4$-face-magic value $2mn+2$ is known. In this paper, we determine a category of $C_4$-face-magic labelings on $mathcal{P}_{m,n}$ for which the $C_4$-face-magic value is either $2mn+1$ or $2mn+3$. It is conjectured that these are the only $C_4$-face-magic labeling on $mathcal{P}_{m,n}$ having $C_4$-face-magic value $2mn+1$ or $2mn+3$." @default.
- W4282020121 created "2022-06-13" @default.
- W4282020121 creator A5065828344 @default.
- W4282020121 date "2022-06-07" @default.
- W4282020121 modified "2023-10-17" @default.
- W4282020121 title "Odd order $C_4$-face-magic $m times n$ projective grid graphs having $C_4$-face-magic value $2mn+1$ or $2mn+3$" @default.
- W4282020121 doi "https://doi.org/10.48550/arxiv.2206.03586" @default.
- W4282020121 hasPublicationYear "2022" @default.
- W4282020121 type Work @default.
- W4282020121 citedByCount "0" @default.
- W4282020121 crossrefType "posted-content" @default.
- W4282020121 hasAuthorship W4282020121A5065828344 @default.
- W4282020121 hasBestOaLocation W42820201211 @default.
- W4282020121 hasConcept C114614502 @default.
- W4282020121 hasConcept C117220453 @default.
- W4282020121 hasConcept C121332964 @default.
- W4282020121 hasConcept C132525143 @default.
- W4282020121 hasConcept C24424167 @default.
- W4282020121 hasConcept C2524010 @default.
- W4282020121 hasConcept C2777704519 @default.
- W4282020121 hasConcept C33923547 @default.
- W4282020121 hasConcept C39290043 @default.
- W4282020121 hasConcept C62520636 @default.
- W4282020121 hasConcept C80899671 @default.
- W4282020121 hasConceptScore W4282020121C114614502 @default.
- W4282020121 hasConceptScore W4282020121C117220453 @default.
- W4282020121 hasConceptScore W4282020121C121332964 @default.
- W4282020121 hasConceptScore W4282020121C132525143 @default.
- W4282020121 hasConceptScore W4282020121C24424167 @default.
- W4282020121 hasConceptScore W4282020121C2524010 @default.
- W4282020121 hasConceptScore W4282020121C2777704519 @default.
- W4282020121 hasConceptScore W4282020121C33923547 @default.
- W4282020121 hasConceptScore W4282020121C39290043 @default.
- W4282020121 hasConceptScore W4282020121C62520636 @default.
- W4282020121 hasConceptScore W4282020121C80899671 @default.
- W4282020121 hasLocation W42820201211 @default.
- W4282020121 hasLocation W42820201212 @default.
- W4282020121 hasOpenAccess W4282020121 @default.
- W4282020121 hasPrimaryLocation W42820201211 @default.
- W4282020121 hasRelatedWork W2070488295 @default.
- W4282020121 hasRelatedWork W2159575407 @default.
- W4282020121 hasRelatedWork W2185771751 @default.
- W4282020121 hasRelatedWork W2187280045 @default.
- W4282020121 hasRelatedWork W2399919305 @default.
- W4282020121 hasRelatedWork W2485855213 @default.
- W4282020121 hasRelatedWork W3007914651 @default.
- W4282020121 hasRelatedWork W3029523465 @default.
- W4282020121 hasRelatedWork W3212279278 @default.
- W4282020121 hasRelatedWork W4302772626 @default.
- W4282020121 isParatext "false" @default.
- W4282020121 isRetracted "false" @default.
- W4282020121 workType "article" @default.