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- Hong-Jian Lai, Liming Xiong, Huiya Yan, Jin Yan
- Journal of Graph Theory
- 2010

In this article, we first show that every 3-edge-connected graph with circumference at most 8 is supereulerian, which is then applied to show that a 3-connected claw-free graph without Z 8 as an induced subgraph is Hamiltonian, where Z 8 denotes the graph derived from identifying one end vertex of P 9 (a path with 9 vertices) with one vertex of a triangle.… (More)

- Hong-Jian Lai, Huiya Yan
- Appl. Math. Lett.
- 2011

In most cases authors are permitted to post their version of the article (e.g. in Word or Tex form) to their personal website or institutional repository. Authors requiring further information regarding Elsevier's archiving and manuscript policies are encouraged to visit: a b s t r a c t A graph G is called supereulerian if G has a spanning Eulerian… (More)

- Cheng Wang, Xiang-Yang Li, Changjun Jiang, Huiya Yan
- IEEE Transactions on Mobile Computing
- 2014

In this paper, we focus on the asymptotic capacity and delay, and their tradeoffs in mobile ad hoc networks (MANETs). As we all know, some fixed rate communication models such as the protocol model and the physical model have been studied in the past. However, our work aims to investigate the impact of an adaptive rate communication model on capacity-delay… (More)

A graph is supereulerian if it has a spanning Eulerian subgraph. Motivated by the Chinese Postman Problem, Boesch, Suffel, and Tindell ([2]) in 1997 proposed the supereulerian problem, which seeks a characterization of graphs that have spanning Eulerian subgraphs, and they indicated that this problem would be very difficult. Pulleyblank ([71]) later in 1979… (More)

- Zhi-Hong Chen, Hong-Jian Lai, Liming Xiong, Huiya Yan, Mingquan Zhan
- Discrete Mathematics
- 2009

Keywords: Hamilton-connected index Iterated line graph Diameter Maximum degree Connectivity a b s t r a c t Let G be an undirected graph that is neither a path nor a cycle.like indices of graphs, ARS Combinatoria 15 (1983) 131–148] defined hc(G) to be the least integer m such that the iterated line graph L m (G) is Hamilton-connected. Let diam(G) be the… (More)

- Longsheng Han, Hong-Jian Lai, Liming Xiong, Huiya Yan
- Discrete Mathematics
- 2010

A classical result of Chvátal and Erd˝ os says that the graph G with connectivity κ(G) not less than its independent number α(G) (i.e. κ(G) ≥ α(G)) is hamiltonian. In this paper, we show that the graph G with κ(G) ≥ α(G) − 1 is either supereulerian, or the Petersen graph, or the graphs obtained from K 2,3 by adding at most one vertex in one edge of K 2,3… (More)

- Cheng Wang, Jieren Zhou, +4 authors Changjun Jiang
- ArXiv
- 2015

—In this paper, we study capacity scaling laws of the deterministic dissemination (DD) in random wireless networks under the generalized physical model (GphyM). This is truly not a new topic. Our motivation to readdress this issue is twofold: Firstly, we aim to propose a more general result to unify the network capacity for general homogeneous random models… (More)

- Yu Fang, Zijiao Zhang, Cheng Wang, Zhong Li, Huiya Yan, Changjun Jiang
- MASS
- 2015

A graph G is called k-supereulerian if it has a spanning even subgraph with at most k components. In this paper, we prove that any 2-edge-connected loopless graph of order n is ⌈(n − 2)/3⌉-supereulerian, with only one exception. This result solves a conjecture in [Z. Niu, L. Xiong, Even factor of a graph with a bounded number of components, Australas. J. As… (More)

- Cheng Wang, Jieren Zhou, Tianci Liu, Lu Shao, Huiya Yan
- 2015 IEEE 34th International Performance…
- 2015

In this paper, we study capacity scaling laws of the deterministic dissemination (DD) in random wireless networks under the generalized physical model (GphyM). This is truly not a new topic. Our motivation to readdress this issue is two-fold: Firstly, we aim to propose a more general result to unify the network capacity for general homogeneous random models… (More)