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DM
2008
76views more  DM 2008»
13 years 5 months ago
Graphic sequences with a realization containing a complete multipartite subgraph
A nonincreasing sequence of nonnegative integers = (d1, d2, ..., dn) is graphic if there is a (simple) graph G of order n having degree sequence . In this case, G is said to reali...
Guantao Chen, Michael Ferrara, Ronald J. Gould, Jo...
ARSCOM
2007
81views more  ARSCOM 2007»
13 years 5 months ago
Graphic Sequences with a Realization Containing a Friendship Graph
For any simple graph H, let σ(H, n) be the minimum m so that for any realizable degree sequence π = (d1, d2, . . . , dn) with sum of degrees at least m, there exists an n-vertex...
Michael Ferrara, Ronald J. Gould, John R. Schmitt
JGT
2008
77views more  JGT 2008»
13 years 5 months ago
Graph classes characterized both by forbidden subgraphs and degree sequences
: Given a set F of graphs, a graph G is F-free if G does not contain any member of F as an induced subgraph. We say that F is a degree-sequence-forcing set if, for each graph G in ...
Michael D. Barrus, Mohit Kumbhat, Stephen G. Hartk...