Title: | The cube polynomial and its derivatives: the case of median graphs |
---|
Authors: | Brešar, Boštjan (Author) Klavžar, Sandi (Author) Škrekovski, Riste (Author) |
---|
Files: | http://www.combinatorics.org/
|
---|
Language: | English |
---|
Work type: | Not categorized (r6) |
---|
Typology: | 1.01 - Original Scientific Article |
---|
Organization: | FERI - Faculty of Electrical Engineering and Computer Science |
---|
Abstract: | Naj bo ▫$alpha_i(G)$▫ število induciranih ▫$i$▫-kock grafa ▫$G$▫. Tedaj je polinom kock ▫$c(G,x)$▫ grafa ▫$G$▫ definiran z ▫$sum_{i ge 0} alpha_i (G) x_i$▫. Pokazano je, da je vsaka funkcija ▫$f$▫ z dvemi predpisanimi naravnimi lastnostmi do faktorja ▫$f(Q_0,x)$▫ enaka polinomu kock. Vpeljan je tudi odvod ▫$partial G$▫ medianskega grafa ▫$G$▫. Dokazano je, da je polinom kock edina funkcija ▫$f$▫ z lastnostjo ▫$f'(G,z) = f(partial G,x)$▫, če je le ▫$f(G,0) = |V(G)|$▫. Dokazanih je tudi več relacij za medianske grafe, ki posplošujejo prej znane rezultate. Na primer, za vsak ▫$s ge 0$▫ velja ▫$c^{(s)}(G, x+1) = sum_{i ge s} frac{c^{(s)}(G,x)}{(i-s)!}$▫. |
---|
Keywords: | matematika, teorija grafov, polinom kock, odvod grafa, medianski grafi, mathematics, graph theory, cube polynomials, graph derivation, median graphs |
---|
Year of publishing: | 2003 |
---|
Number of pages: | R3 (11 str.) |
---|
Numbering: | Vol. 10, no. 1 |
---|
UDC: | 519.17 |
---|
ISSN on article: | 1077-8926 |
---|
COBISS_ID: | 12165977  |
---|
NUK URN: | URN:SI:UM:DK:5YNSNFQS |
---|
Views: | 474 |
---|
Downloads: | 27 |
---|
Metadata: |  |
---|
Categories: | Misc.
|
---|
:
|
|
---|
| | | Average score: | (0 votes) |
---|
Your score: | Voting is allowed only for logged in users. |
---|
Share: |  |
|
Hover the mouse pointer over a document title to show the abstract or click
on the title to get all document metadata. |