... D. H. Thang, On Ito stochastic integral with respect to vector stable random
measures, Acta Math. Vietnam. 21 (1996) 171–181.
12. D. H. Thang, Vector random stable measures and random integrals, ... for
defining the Y -valued Ito process and establishing the Ito formula, in Secs. 3
and 4 we construct the Ito integral of L(X, Y )-valued adapted random func-...
... a graph G and a covering
˜
G of G and we study the relations of
their eigenvalues and heat kernels. We evaluate the heat kernel for an infinite
k-regular tree and we examine the heat kernels for ... Coverings, heat kernels and spanning trees
Fan Chung
†∗
University of Pennsylvania
Philadelphia, Pennsylvania ... path P
with vertices v
0
, ,v
p
where p = D(G). Suppose...
... the separability number and the Schurity number of W
respectively. The separability number s(C) and the Schurity number t(C) of a scheme C are
defined as the corresponding numbers of its Bose-Mesner ... m-
equivalence of permutation groups (see [24]). In Section 4 we introduce the separability and
Schurity numbers of cellular algebras and schemes and study gen...
... journal of combinatorics 10 (2003), #N12 3
Thus we may also think of linear k-trees as maximal linear k-forests or minimally
k-connected hypergraphs.
3 All trees are not created equal
A linear k-tree ... solvable minimum spanning tree
problem. Replacing ‘k-hypertree’ with linear k-tree’ in the above definition drastically
reduces the complexity of the problem. By Theorems 2.4 and 2.3...
... The number of 0-1-2 increasing trees as two different
evaluations of the Tutte polynomial of a complete graph
C. Merino
∗
Instituto de Matem´aticas,
Universidad Nacional Aut´onoma de M´exico,
Circuito ... present an algebraic proof of a result
with the same flavour as the latter: T
n+2
(1, −1) = T
n
(2, −1), where T
n
(1, −1) has
the combinatorial i...
... set of q edges with weight at least s in a graph G. If the total
weight of edges in Q is at most cq, then rep(L(G)) ≥ max
k>s
2(k−c)
(k−s)(k−s+1)
q.
Proof. Let X
i
be the number of edges of ... define the repetition number of
a graph G, written rep(G), to be the maximum multiplicity in the list of vertex degrees.
We study the minimum of rep(G) on various classes of n-ver...
... “intersection
graph” of the components in G
1
and G
2
). By construction, H is bipartite. The degree of
a vertex in H is the number of vertices in the corresponding component of G
1
or G
2
.
Each edge of H corresponds ... {a ∈ A: a /∈ B}.
2 Independence ratio at least 1/4
The independence number of a graph is the sum of the independence numbers of its
components. Therefore...
... such a graph G with no independent set of size at least
N
d
k
d
−0.5
.
the electronic journal of combinatorics 16 (2009), #R71 5
Chromatic number for a generalization of
Cartesian product graphs
Daniel ... of graphs. A d-fold grid over G is a graph obtained from a
d-dimensional rectangular grid of vertices by placing a graph from G on each of the
lines paral...
... distinguishing number two.
the electronic journal of combinatorics 17 (2010), #R20 6
Distinguishing Number of Countable
Homogeneous Relational Structures
C. Laflamme
∗
University of Calgary
Department of ... skeleton of a structure A is the set of finite induced substructures of A and the
age of A consists of all relational structures isomorphic to an element of...
... Chvatalova and J. Opatrn ´y. The bandwidth of theta graphs. Utilitas Math.,
33:9–22, 1988.
[12] Y. Egawa, H. Enomoto, S. Jendrol, K. Ota , and I. Schiermeyer. Independence number
and vertex -disjoint ... T
i
for some i. Let u and v be the hub
vertices of T and let Q
1
, Q
2
and Q
3
be the paths of T ea ch containing u and v.
Suppose u and v are each incident to at least...
... CASE REPO R T Open Access
Renal carcinoma infiltrating inferior vena cava
and combined valvular heart disease - one-stage
uro-cardiological procedure: a case report
Artur A Antoniewicz
1
, ... separate operations.
We report a case of 55-year-old man with combined valvular heart disease and renal carcinoma infiltrating inferior
caval ve...
... kakarla.chalam@jax.ufl.edu
Abstract
Introduction: Spectral-domain optical coherence tomography findings in a
patient with acute macular neuroretinopathy, and correlation with functional
defects on microperimetry, ... upon acceptance. Fully formatted
PDF and full text (HTML) versions will be made available soon.
Infrared imaging and spectral-domain optica...
... contributions
AG analyzed and interpreted data regarding our patient s endocrine disease
and hypercalcemia. HA analyzed and interpreted data regarding her
hematologic disease and performed her chemotherapy. ... 4:330
http://www.jmedicalcasereports.com/content/4/1/330
Page 4 of 4
CASE REPO R T Open Access
Hypercalcemia and huge splenomegaly
presenting in an elderly...
... presentation: We describe the case of a 31-year-old Asian man with an unusual case of hemoptysis and
lung contusion and cavitation with exudative plural effusion due to pulmonary trauma following false ... CAS E REP O R T Open Access
Lung contusion and cavitation with exudative
plural effusion following extracorporeal shock
wave lithotripsy...
... he was asymptomatic at rest. At 27 years of age, the
patient reported an increase in dyspnea with minimal
exertion. He was diagnosed with thrombosis of the Bla-
lock-Taussig anastomosis and was ... failure, and sudden cardiac death.
Truncus arteriosus is another rare anomaly, defined as a
single great artery that originates from the base of the
heart and gives rise to the pu...