Global Information Lookup Global Information

Ljubljana graph information


Ljubljana graph
The Ljubljana graph as a covering graph of the Heawood graph
Vertices112
Edges168
Radius7
Diameter8
Girth10
Automorphisms168
Chromatic number2
Chromatic index3
PropertiesCubic
Semi-symmetric
Hamiltonian
Table of graphs and parameters

In the mathematical field of graph theory, the Ljubljana graph is an undirected bipartite graph with 112 vertices and 168 edges, rediscovered in 2002 and named after Ljubljana (the capital of Slovenia).[1][2]

It is a cubic graph with diameter 8, radius 7, chromatic number 2 and chromatic index 3. Its girth is 10 and there are exactly 168 cycles of length 10 in it. There are also 168 cycles of length 12.[1]

  1. ^ a b Conder, M.; Malnič, A.; Marušič, D.; Pisanski, T.; and Potočnik, P. "The Ljubljana Graph." 2002. [1].
  2. ^ Weisstein, Eric W. "Ljubljana Graph". MathWorld.

and 21 Related for: Ljubljana graph information

Request time (Page generated in 0.799 seconds.)

Ljubljana graph

Last Update:

of graph theory, the Ljubljana graph is an undirected bipartite graph with 112 vertices and 168 edges, rediscovered in 2002 and named after Ljubljana (the...

Word Count : 582

Cubic graph

Last Update:

graphs include the Gray graph (the smallest semi-symmetric cubic graph), the Ljubljana graph, and the Tutte 12-cage. The Frucht graph is one of the five smallest...

Word Count : 1777

Levi graph

Last Update:

of two mutually incident tetrahedra. The Ljubljana graph on 112 vertices is the Levi graph of the Ljubljana configuration. Grünbaum, Branko (2006), "Configurations...

Word Count : 600

List of graphs

Last Update:

Coxeter graph Tutte–Coxeter graph Dyck graph Klein graph Foster graph Biggs–Smith graph The Rado graph Folkman graph Gray graph Ljubljana graph Tutte 12-cage...

Word Count : 1251

Dejter graph

Last Update:

Dejter graph admits a 3-factorization into two copies of the Ljubljana graph, which is the third smallest existing semi-symmetric cubic graph of regular...

Word Count : 576

Italo Jose Dejter

Last Update:

semi-symmetric Ljubljana graph of girth 10. In 1972, I. Z. Bouwer attributed a graph with the mentioned properties of the Ljubljana graph to R. M. Foster...

Word Count : 5641

Ljubljana Airport

Last Update:

Ljubljana Jože Pučnik Airport (Slovene: Letališče Jožeta Pučnika Ljubljana) (IATA: LJU, ICAO: LJLJ), also known by its previous name Brnik Airport (Slovene:...

Word Count : 1784

Dense graph

Last Update:

In mathematics, a dense graph is a graph in which the number of edges is close to the maximal number of edges (where every pair of vertices is connected...

Word Count : 1166

List of graphs by edges and vertices

Last Update:

various individual (finite) graphs. The columns 'vertices', 'edges', 'radius', 'diameter', 'girth', 'P' (whether the graph is planar), χ (chromatic number)...

Word Count : 85

Bojan Mohar

Last Update:

working in graph theory. He is a professor of mathematics at the University of Ljubljana and the holder of a Canada Research Chair in graph theory at Simon...

Word Count : 285

Ljubljana Castle

Last Update:

50833 Ljubljana Castle (Slovene: Ljubljanski grad, German: Laibacher Schloss) is a castle complex standing on Castle Hill above downtown Ljubljana, the...

Word Count : 3376

Dominating set

Last Update:

In graph theory, a dominating set for a graph G is a subset D of its vertices, such that any vertex of G is in D, or has a neighbor in D. The domination...

Word Count : 4070

LCF notation

Last Update:

In the mathematical field of graph theory, LCF notation or LCF code is a notation devised by Joshua Lederberg, and extended by H. S. M. Coxeter and Robert...

Word Count : 635

Fibonacci cube

Last Update:

In the mathematical field of graph theory, the Fibonacci cubes or Fibonacci networks are a family of undirected graphs with rich recursive properties...

Word Count : 1717

Center

Last Update:

(algebra), used in various contexts Center (group theory) Center (ring theory) Graph center, the set of all vertices of minimum eccentricity Central tendency...

Word Count : 387

Vladimir Batagelj

Last Update:

mathematician and an emeritus professor of mathematics at the University of Ljubljana. He is known for his work in discrete mathematics and combinatorial optimization...

Word Count : 656

Ljubljanica

Last Update:

Leybach, is a river in the southern part of the Ljubljana Basin in Slovenia. The capital of Slovenia, Ljubljana, lies on the river. The Ljubljanica rises south...

Word Count : 673

Klavdija Kutnar

Last Update:

born 23 December 1980, in Ljubljana, Slovenia. She graduated from the Faculty of Education of the University of Ljubljana in 2003, and in 2008 received...

Word Count : 922

PST

Last Update:

Remembrance and Comradeship (Slovene: Pot spominov in tovarištva), a walkway in Ljubljana, Slovenia Poznań Fast Tram (Polish: Poznański Szybki Tramwaj), Poland...

Word Count : 222

Sava

Last Update:

basin is estimated at 8,176,000, and is shared by three capital cities: Ljubljana, Zagreb and Belgrade. The Sava is about 2⁄3-navigable for larger vessels:...

Word Count : 9853

Jure Leskovec

Last Update:

Leskovec received a Diploma in Computer Science from the University of Ljubljana, Slovenia, researching semantic networks-based creation of abstracts,...

Word Count : 455

PDF Search Engine © AllGlobal.net