We study the complexity of testing if two given matroids are isomorphic. The problem is easily seen to be in Σ p 2. In the case of linear matroids, which are represented over pol...
It is known that the chromatic polynomial of any chordal graph has only integer roots. However, there also exist non-chordal graphs whose chromatic polynomials have only integer r...
Feng Ming Dong, Kee L. Teo, Khee Meng Koh, Michael...
We generalize and unify results on parametrized and coloured Tutte polynomials of graphs and matroids due to Zaslavsky [Trans. Amer. Math. Soc. 334 (1992), 317-347] and Bollob
For a graph G, let P(G; ) be its chromatic polynomial and let [G] be the set of graphs having P(G; ) as their chromatic polynomial. We call [G] the chromatic equivalence class of ...
Feng Ming Dong, Kee L. Teo, Charles H. C. Little, ...
A geometric graph is a labeled graph whose vertices are points in the 2D plane with an isomorphism invariant under geometric transformations such as translation, rotation, and scal...