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» Balanced Cayley graphs and balanced planar graphs
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CORR
2010
Springer
143views Education» more  CORR 2010»
14 years 11 months ago
Quasi-randomness of graph balanced cut properties
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...
Hao Huang, Choongbum Lee
JCT
2007
78views more  JCT 2007»
14 years 11 months ago
Projective-planar signed graphs and tangled signed graphs
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...
Daniel C. Slilaty
COMBINATORICS
2007
74views more  COMBINATORICS 2007»
14 years 11 months ago
Regular Spanning Subgraphs of Bipartite Graphs of High Minimum Degree
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...
Béla Csaba
ENDM
2010
100views more  ENDM 2010»
14 years 11 months ago
Balanced list edge-colourings of bipartite graphs
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...
Tamás Fleiner, András Frank
JCO
2007
122views more  JCO 2007»
14 years 11 months ago
Packing 5-cycles into balanced complete m -partite graphs for odd m
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...
Ming-Hway Huang, Chin-Mei Fu, Hung-Lin Fu