#### Filter Results:

- Full text PDF available (6)

#### Publication Year

2004

2017

#### Publication Type

#### Co-author

#### Publication Venue

#### Key Phrases

Learn More

The time fractional diffusion equation with appropriate initial and boundary conditions in an n-dimensional whole-space and half-space is considered. Its solution has been obtained in terms of Green functions by Schneider and Wyss. For the problem in whole-space, an explicit representation of the Green functions can also be obtained. However, an explicit… (More)

In this note, we consider connected graphs with exactly two main eigenvalues. We will give several constructions for them, and as a consequence we show a family of those graphs with an unbounded number of distinct va-lencies.

- FENJIN LIU, QINGHAI LIU
- 2011

The †-shape tree is the coalescence of the star K 1,4 and the path P n−4 with respect to two pendent vertices. In this paper, it is showed that the †-shape tree is determined by its adjacency spectrum if and only if n = 2k + 9 (k = 0, 1,. . .). Furthermore, all the cospectral mates of the †-shape tree are found when n = 2k + 9.

- Fenjin Liu
- Ars Comb.
- 2015

- Aygul Mamut, Qiongxiang Huang, Fenjin Liu
- Discrete Applied Mathematics
- 2009

- Fenjin Liu, Qiongxiang Huang, Xingming Tao
- Appl. Math. Lett.
- 2012

- Fenjin Liu, Qiongxiang Huang
- Ars Comb.
- 2013

- Fenjin Liu, Wei Wang
- 2017

Two graphs G and H are called R-cospectral if A(G)+yJ and A(H)+yJ (where A(G), A(H) are the adjacency matrices of G and H, respectively, J is the all-one matrix) have the same spectrum for all y ∈ R. In this note, we give a necessary condition for having R-cospectral graphs. Further, we provide a sufficient condition ensuring only irrational orthogonal… (More)

- Fenjin Liu, Wei Wang
- Electr. J. Comb.
- 2017

- Xingming Tao, Qiongxiang Huang, Fenjin Liu
- Ars Comb.
- 2014