Clever Geek Handbook
📜 ⬆️ ⬇️

Count Wong

The Wong graph is a 5-regular undirected graph with 30 vertices and 75 edges [1] [2] . The graph is one of four (5.5) cells , the other three are the Foster cell , the Mehringer graph and the Robertson-Wegner graph .

Count Wong
Wong graph.svg
Count Wong
Named afterPak-Ken Wong
Topthirty
Riber75
Diameter3
Girthfive
Automorphisms96
Chromatic numberfour
Chromatic Indexfive
The propertiesCell

Like (not connected with this graph) Harris-Wong graph, the graph is named after Pak-Ken Wong [3] .

The graph has a chromatic number of 4, a diameter of 3, and it is vertex 5-connected .

Algebraic properties

The characteristic polynomial of a graph is

(x-five)(x+one)2(x2-five)3(x-one)five(x2+x-five)eight.{\ displaystyle (x-5) (x + 1) ^ {2} (x ^ {2} -5) ^ {3} (x-1) ^ {5} (x ^ {2} + x-5) ^ {8}.} {\displaystyle (x-5)(x+1)^{2}(x^{2}-5)^{3}(x-1)^{5}(x^{2}+x-5)^{8}.}

Literature

  1. ↑ Weisstein, Eric W. Wong Graph on the Wolfram MathWorld website.
  2. ↑ Markus Meringer. Fast generation of regular graphs and construction of cages // Journal of Graph Theory . - 1999. - T. 30 , no. 2 . - S. 137–146 . - DOI : 10.1002 / (SICI) 1097-0118 (199902) 30: 2 <137 :: AID-JGT7> 3.0.CO; 2-G .
  3. ↑ Wong PK Cages - A Survey // J. Graph Th .. - 1982. - Issue. 6 . - S. 1-22 .
Source - https://ru.wikipedia.org/w/index.php?title=Gong_Vong&oldid=99236962


More articles:

  • Men's European Handball Championship 2020
  • Rozhdestveno (Belgorod Oblast)
  • Paochichi
  • Poltev, Konstantin Vladimirovich
  • Argunov, Pavel Alexandrovich
  • Whiskey Lake
  • Eldar Zeynalov
  • Simonova, Nika
  • Steppe ferret
  • Bernini, Anna Maria

All articles

Clever Geek | 2019