... conclude that any
petal graph G, other than P
∗
, must be Class 1.
the electronic journal of combinatorics 10 (2003), #R6 6
Colouring the petals of a graph
David Cariolaro
∗
Department of Mathematics
University ... Mathematics
University of Reading
RG6 6AX
U.K.
davidcariolaro@hotmail.com
Gianfranco Cariolaro
Dipartimento di Ingegneria dell’ Informazione
Universit`adiPadova
351...
... journal of combinatorics 13 (2006), #N16 2
On the Proof of a Theorem of P´alfy
Edward Dobson
Department of Mathematics and Statistics
Mississippi State University
PO Drawer MA
Mississippi State, ... = 1, then y is conjugate to x in x, y.
Proof. As x and y are abelian, and a transitive abelian subgroup is regular [3,
Theorem 4. 2A (v)], we have that fix
x
(B) and fix
...
... research in random graph theory is the component
structure of the random graph G
n,m
(a graph drawn uniformly at random from all graphs
∗
A preliminary version of this paper appeared in the proceedings ... into an initially empty graph. Then the theorem states that
a. a.s. a linear-sized ‘giant component’ emerges quite precisely at the point where the
average degree in...
... triple (AT ) of a graph G is a a set of three vertices of G such that for any
pair of them there is a path connecting the two vertices and having a distance at least
two to the remaining vertex. A ... 2-chordal graphs. A 3-chordal graph is usually termed as a
chordal graph a nd a 4-chordal graph is often called a hole-free graph. The class of k-chordal
grap...
... nonlinear discrete
Volterra difference equations
Istv´an Gy˝ori
∗1
and Essam Awwad
1,2
1
Department of Mathematics, Faculty of Information Technology, University of Pannonia, Hungary
2
Department of ... interests
The authors declare that they have no competing interests.
Authors’ contributions
This was a joint work in every aspect. All the authors have read and approved the fina...