244 search results - page 3 / 49 » Balanced Cayley graphs and balanced planar graphs |
CORR
2010
Springer
13 years 5 months ago
2010
Springer
Quasi-random graphs can be informally described as graphs whose edge distribution closely resembles that of a truly random graph of the same edge density. Recently, Shapira and Yu...
JCT
2007
13 years 5 months ago
2007
A projective-planar signed graph has no two vertex-disjoint negative circles. We prove that every signed graph with no two vertex-disjoint negative circles and no balancing vertex...
COMBINATORICS
2007
13 years 5 months ago
2007
Let G be a simple balanced bipartite graph on 2n vertices, δ = δ(G)/n, and ρ0 = δ+ √ 2δ−1 2 . If δ ≥ 1/2 then G has a ρ0n -regular spanning subgraph. The statement is...
ENDM
2010
13 years 5 months ago
2010
Galvin solved the Dinitz conjecture by proving that bipartite graphs are -edge-choosable. We employ Galvin's method to show some further list edgecolouring properties of bipa...
JCO
2007
13 years 5 months ago
2007
Let Kn1,n2,...,nm be a complete m-partite graph with partite sets of sizes n1,n2,...,nm. A complete m-partite graph is balanced if each partite set has n vertices. We denote this c...