Results 61 to 70 of about 1,320 (180)
ABSTRACT Background and Aims Anemia is a disorder caused by insufficient red blood cell count or hemoglobin concentration, affecting nearly a quarter of the global population each year. An undiagnosed condition can escalate into life‐threatening complications, particularly among pregnant women and children. Although anemia causes identifiable symptoms,
Mohammad Hadi Ghahroudi +2 more
wiley +1 more source
Vibrations in matter, from spider webs to molecules, water to flames, share a grammar with music. We propose that creativity emerges when constraints force expansion beyond existing possibilities. Selective imperfection restores balance, enabling invention.
Markus J. Buehler
wiley +1 more source
Characteristic numbers and chromatic polynomial of a tensor
We introduce the characteristic numbers and the chromatic polynomial of a linear subspace of matrices, or equivalently of a tensor. Our approach generalizes and unifies the chromatic polynomial of a graph and of a matroid, characteristic numbers of ...
Austin Conner, Mateusz Michalek
doaj +1 more source
Signed Projective Cubes, a Homomorphism Point of View
ABSTRACT The (signed) projective cubes, as a special class of graphs closely related to the hypercubes, are on the crossroad of geometry, algebra, discrete mathematics and linear algebra. Defined as Cayley graphs on binary groups, they represent basic linear dependencies.
Meirun Chen +2 more
wiley +1 more source
Colourings of (k-r,k)-trees [PDF]
Trees are generalized to a special kind of higher dimensional complexes known as \((j,k)\)-trees ([L. W. Beineke, R. E. Pippert, On the structure of \((m,n)\)-trees, Proc. 8th S-E Conf. Combinatorics, Graph Theory and Computing, 1977, 75-80]), and which
M. Borowiecki, H. P. Patil
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A bibliography on chromatic polynomials
Our intention is to make this bibliography as complete as possible and as such, some marginally related references are also included.
openaire +3 more sources
Chromatic Polynomials of Oriented Graphs
The oriented chromatic polynomial of a oriented graph outputs the number of oriented $k$-colourings for any input $k$. We fully classify those oriented graphs for which the oriented graph has the same chromatic polynomial as the underlying simple graph, closing an open problem posed by Sopena.
Danielle Cox, Christopher Duffy 0001
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Orientations of Graphs With at Most One Directed Path Between Every Pair of Vertices
ABSTRACT Given a graph G, we say that an orientation D of G is a KT orientation if, for all u , v ∈ V ( D ), there is at most one directed path (in any direction) between u and v. Graphs that admit such orientations have been used to construct graphs with large chromatic number and small clique number that served as counterexamples to various ...
Barbora Dohnalová +3 more
wiley +1 more source
The multivariate arithmetic Tutte polynomial [PDF]
We introduce an arithmetic version of the multivariate Tutte polynomial recently studied by Sokal, and a quasi-polynomial that interpolates between the two.
Petter Brändèn, Luca Moci
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Certificates of Factorisation for Chromatic Polynomials
The chromatic polynomial gives the number of proper $\lambda$-colourings of a graph $G$. This paper considers factorisation of the chromatic polynomial as a first step in an algebraic study of the roots of this polynomial. The chromatic polynomial of a graph is said to have a chromatic factorisation if $P({G},\lambda)=P({H_{1}},\lambda)P({H_{2 ...
Kerri Morgan, Graham Farr
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