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JCT
2008
91views more  JCT 2008»
13 years 9 months ago
A chain theorem for matroids
Tutte's Wheels-and-Whirls Theorem proves that if M is a 3-connected matroid other than a wheel or a whirl, then M has a
James G. Oxley, Charles Semple, Geoff Whittle
JCT
2008
84views more  JCT 2008»
13 years 9 months ago
Wild triangles in 3-connected matroids
Let {a, b, c} be a triangle in a 3-connected matroid M. In this paper, we describe the structure of M relative to {a, b, c} when, for all t in {a, b, c}, either M\t is not 3-connec...
James G. Oxley, Charles Semple, Geoff Whittle
JCT
2008
76views more  JCT 2008»
13 years 10 months ago
Bisimplicial vertices in even-hole-free graphs
Louigi Addario-Berry, Maria Chudnovsky, Fré...
JCT
2008
57views more  JCT 2008»
13 years 10 months ago
k-Ordered Hamilton cycles in digraphs
Daniela Kühn, Deryk Osthus, Andrew Young
JCT
2008
55views more  JCT 2008»
13 years 10 months ago
Packing of graphs with small product of sizes
Alexandr V. Kostochka, Gexin Yu
JCT
2008
120views more  JCT 2008»
13 years 10 months ago
Approximate min-max theorems for Steiner rooted-orientations of graphs and hypergraphs
Given an undirected hypergraph and a subset of vertices S V with a specified root vertex r S, the STEINER ROOTED-ORIENTATION problem is to find an orientation of all the hypered...
Tamás Király, Lap Chi Lau
JCT
2008
70views more  JCT 2008»
13 years 10 months ago
Claw-free graphs. IV. Decomposition theorem
Maria Chudnovsky, Paul D. Seymour
JCT
2008
96views more  JCT 2008»
13 years 10 months ago
Graphs with full rank 3-color matrix and few 3-colorings
We exhibit a a counterexample to a conjecture of Thomassen stating that the number of distinct 3-colorings of every graph whose 3color matrix has full column rank is superpolynomi...
Serguei Norine, Jean-Sébastien Sereni
JCT
2008
54views more  JCT 2008»
13 years 10 months ago
Nowhere-zero 3-flows in triangularly connected graphs
Genghua Fan, Hong-Jian Lai, Rui Xu, Cun-Quan Zhang...
JCT
2008
74views more  JCT 2008»
13 years 10 months ago
Claw-free graphs. V. Global structure
Maria Chudnovsky, Paul D. Seymour