Matches in SemOpenAlex for { <https://semopenalex.org/work/W2949272264> ?p ?o ?g. }
Showing items 1 to 76 of
76
with 100 items per page.
- W2949272264 abstract "A {em leader} of a tree $T$ on $[n]$ is a vertex which has no smaller descendants in $T$. Gessel and Seo showed $$sum_{T in mathcal{T}_n}u^text{(# of leaders in $T$)} c^text{(degree of 1 in $T$)}=u P_{n-1}(1,u,cu),$$ which is a generalization of Cayley formula, where $mathcal{T}_n$ is the set of trees on $[n]$ and $$P_n(a,b,c)=cprod_{i=1}^{n-1}(ia+(n-i)b+c).$$ Using a variation of Prufer code which is called a {em RP-code}, we give a simple bijective proof of Gessel and Seo's formula." @default.
- W2949272264 created "2019-06-27" @default.
- W2949272264 creator A5051142723 @default.
- W2949272264 creator A5080739125 @default.
- W2949272264 date "2005-12-31" @default.
- W2949272264 modified "2023-09-27" @default.
- W2949272264 title "A Generalized Enumeration of Labeled Trees and Reverse Prufer Algorithm" @default.
- W2949272264 cites W1546829463 @default.
- W2949272264 cites W1586057495 @default.
- W2949272264 cites W2616697817 @default.
- W2949272264 hasPublicationYear "2005" @default.
- W2949272264 type Work @default.
- W2949272264 sameAs 2949272264 @default.
- W2949272264 citedByCount "1" @default.
- W2949272264 crossrefType "posted-content" @default.
- W2949272264 hasAuthorship W2949272264A5051142723 @default.
- W2949272264 hasAuthorship W2949272264A5080739125 @default.
- W2949272264 hasConcept C111472728 @default.
- W2949272264 hasConcept C113174947 @default.
- W2949272264 hasConcept C114614502 @default.
- W2949272264 hasConcept C118615104 @default.
- W2949272264 hasConcept C121332964 @default.
- W2949272264 hasConcept C132525143 @default.
- W2949272264 hasConcept C134306372 @default.
- W2949272264 hasConcept C138885662 @default.
- W2949272264 hasConcept C156340839 @default.
- W2949272264 hasConcept C177148314 @default.
- W2949272264 hasConcept C24424167 @default.
- W2949272264 hasConcept C24890656 @default.
- W2949272264 hasConcept C2775997480 @default.
- W2949272264 hasConcept C2780586882 @default.
- W2949272264 hasConcept C33923547 @default.
- W2949272264 hasConcept C80899671 @default.
- W2949272264 hasConceptScore W2949272264C111472728 @default.
- W2949272264 hasConceptScore W2949272264C113174947 @default.
- W2949272264 hasConceptScore W2949272264C114614502 @default.
- W2949272264 hasConceptScore W2949272264C118615104 @default.
- W2949272264 hasConceptScore W2949272264C121332964 @default.
- W2949272264 hasConceptScore W2949272264C132525143 @default.
- W2949272264 hasConceptScore W2949272264C134306372 @default.
- W2949272264 hasConceptScore W2949272264C138885662 @default.
- W2949272264 hasConceptScore W2949272264C156340839 @default.
- W2949272264 hasConceptScore W2949272264C177148314 @default.
- W2949272264 hasConceptScore W2949272264C24424167 @default.
- W2949272264 hasConceptScore W2949272264C24890656 @default.
- W2949272264 hasConceptScore W2949272264C2775997480 @default.
- W2949272264 hasConceptScore W2949272264C2780586882 @default.
- W2949272264 hasConceptScore W2949272264C33923547 @default.
- W2949272264 hasConceptScore W2949272264C80899671 @default.
- W2949272264 hasLocation W29492722641 @default.
- W2949272264 hasOpenAccess W2949272264 @default.
- W2949272264 hasPrimaryLocation W29492722641 @default.
- W2949272264 hasRelatedWork W1658794775 @default.
- W2949272264 hasRelatedWork W1986001904 @default.
- W2949272264 hasRelatedWork W2136225397 @default.
- W2949272264 hasRelatedWork W2195042389 @default.
- W2949272264 hasRelatedWork W2949687598 @default.
- W2949272264 hasRelatedWork W2951257795 @default.
- W2949272264 hasRelatedWork W2951404354 @default.
- W2949272264 hasRelatedWork W2951857420 @default.
- W2949272264 hasRelatedWork W2952410690 @default.
- W2949272264 hasRelatedWork W2952817727 @default.
- W2949272264 hasRelatedWork W2963902573 @default.
- W2949272264 hasRelatedWork W2964040009 @default.
- W2949272264 hasRelatedWork W2973235923 @default.
- W2949272264 hasRelatedWork W2976119392 @default.
- W2949272264 hasRelatedWork W3031334662 @default.
- W2949272264 hasRelatedWork W3046011717 @default.
- W2949272264 hasRelatedWork W3100758761 @default.
- W2949272264 hasRelatedWork W3127223514 @default.
- W2949272264 hasRelatedWork W3157377937 @default.
- W2949272264 hasRelatedWork W3171371020 @default.
- W2949272264 isParatext "false" @default.
- W2949272264 isRetracted "false" @default.
- W2949272264 magId "2949272264" @default.
- W2949272264 workType "article" @default.