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DM
2007
123views more  DM 2007»
13 years 4 months ago
Totally anti-symmetric quasigroups for all orders n =/ 2, 6
A quasigroup (Q, ∗) is called totally anti-symmetric if (c ∗ x) ∗ y = (c ∗ y) ∗ x ⇒ x = y and x∗y = y∗x ⇒ x = y. A totally anti-symmetric quasigroup can be used ...
H. Michael Damm
DM
2007
59views more  DM 2007»
13 years 4 months ago
Non-existence of nonorientable regular embeddings of n-dimensional cubes
By a regular embedding of a graph K into a surface we mean a 2-cell embedding of K into a compact connected surface with the automorphism group acting regularly on flags. Regular...
Young Soo Kwon, Roman Nedela
DM
2007
77views more  DM 2007»
13 years 4 months ago
Quadrangularly connected claw-free graphs
A graph G is quadrangularly connected if for every pair of edges e1 and e2 in E(G), G has a sequence of l-cycles (3 ≤ l ≤ 4)
MingChu Li, Cheng Guo, Liming Xiong, Dengxin Li, H...
DM
2007
116views more  DM 2007»
13 years 4 months ago
The Ramsey numbers for a cycle of length six or seven versus a clique of order seven
: For two given graphs G1 and G2, the Ramsey number R(G1, G2) is the smallest integer n such that for any graph G of order n, either G contains G1 or the complement of G contains G...
T. C. Edwin Cheng, Yaojun Chen, Yunqing Zhang, C. ...
DM
2007
68views more  DM 2007»
13 years 4 months ago
Constructions and bounds for (m, t)-splitting systems
D. Deng, Douglas R. Stinson, Pak Ching Li, G. H. J...
DM
2007
55views more  DM 2007»
13 years 4 months ago
On the number of closed walks in vertex-transitive graphs
Robert Jajcay, Aleksander Malnic, Dragan Marusic
DM
2007
53views more  DM 2007»
13 years 4 months ago
The spectrum of Platonic graphs over finite fields
Michelle R. DeDeo, Dominic Lanphier, Marvin Minei
DM
2007
57views more  DM 2007»
13 years 4 months ago
Triangulated neighborhoods in even-hole-free graphs
An even-hole-free graph is a graph that does not contain, as an induced subgraph, a chordless cycle of even length. A graph is triangulated if it does not contain any chordless cy...
Murilo Vicente Gonçalves da Silva, Kristina...
DM
2007
98views more  DM 2007»
13 years 4 months ago
Fast recognition of classes of almost-median graphs
In this paper it is shown that a class of almost-median graphs that includes all planar almost-median graphs can be recognized in O(m log n) time, where n denotes the number of ve...
Wilfried Imrich, Alenka Lipovec, Iztok Peterin, Pe...
DM
2007
86views more  DM 2007»
13 years 4 months ago
Short cycle connectivity
Short cycle connectivity is a generalization of ordinary connectivity—two vertices have to be connected by a sequence of short cycles, in which two consecutive cycles have at le...
Vladimir Batagelj, Matjaz Zaversnik