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DM
2008
79views more  DM 2008»
13 years 11 months ago
The reconstruction conjecture and edge ideals
Given a simple graph G on n vertices, we prove that it is possible to reconstruct several algebraic properties of the edge ideal from the deck of G, that is, from the collection o...
Kia Dalili, Sara Faridi, Will Traves
DM
2008
100views more  DM 2008»
13 years 11 months ago
Constructing and classifying neighborhood anti-Sperner graphs
For a simple graph G let NG(u) be the (open) neighborhood of vertex u V (G). Then G is neighborhood anti-Sperner (NAS) if for every u there is a v V (G)\{u} with NG(u) NG(v). A...
John P. McSorley
DM
2008
94views more  DM 2008»
13 years 11 months ago
On low degree k-ordered graphs
A simple graph G is k-ordered (respectively, k-ordered hamiltonian) if, for any sequence of k distinct vertices v1, . . . , vk of G, there exists a cycle (respectively, a hamilton...
Karola Mészáros
DM
2008
129views more  DM 2008»
13 years 11 months ago
On 3-regular 4-ordered graphs
A simple graph G is k-ordered (respectively, k-ordered hamiltonian), if for any sequence of k distinct vertices v1, . . . , vk of G there exists a cycle (respectively, hamiltonian...
Karola Mészáros
DM
2008
88views more  DM 2008»
13 years 11 months ago
Degree sequence and supereulerian graphs
A sequence d = (d1, d2,
Suohai Fan, Hong-Jian Lai, Yehong Shao, Taoye Zhan...
ARSCOM
2007
81views more  ARSCOM 2007»
13 years 11 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
ARSCOM
2007
82views more  ARSCOM 2007»
13 years 11 months ago
Extremal properties of (1, f)-odd factors in graphs
Let G be a simple graph and f : V (G) → {1, 3, 5, ...} an odd integer valued function defined on V (G). A spanning subgraph F of G is called a (1, f)odd factor if dF (v) ∈ {1...
Qinglin Roger Yu, Zhao Zhang
APPML
2008
92views more  APPML 2008»
13 years 11 months ago
On the domination number of Hamiltonian graphs with minimum degree six
Let G = (V, E) be a simple graph. A set D V is a dominating set of G if every vertex of V - D is adjacent to a vertex of D. The domination number of G, denoted by (G), is the min...
Hua-Ming Xing, Johannes H. Hattingh, Andrew R. Plu...
CATS
1998
14 years 6 days ago
Finding the k Most Vital Edges with Respect to Minimum Spanning Trees for k=2 and 3
Let G(V, E) be a weighted, undirected, connected simple graph with n vertices and m edges. The k most vital edge problem with respect to minimum spanning trees is to find a set S o...
Weifa Liang, George Havas
AAIM
2010
Springer
219views Algorithms» more  AAIM 2010»
14 years 2 months ago
Approximating Maximum Edge 2-Coloring in Simple Graphs
We present a polynomial-time approximation algorithm for legally coloring as many edges of a given simple graph as possible using two colors. It achieves an approximation ratio of...
Zhi-Zhong Chen, Sayuri Konno, Yuki Matsushita