Metric dimension of cycloparaphenylene and its derived molecular structures. [PDF]
Prabhu S +3 more
europepmc +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
A Study on the Structure of Ideal-Based Non-Zero Divisor Graphs Associated with <i>Z</i> <sub><i>n</i></sub>. [PDF]
Kadem S, Abd Aubad A.
europepmc +1 more source
A structure theorem for graphs with no cycle with a unique chord and its consequences [PDF]
We give a structural description of the class C of graphs that do not contain a cycle with a unique chord as an induced subgraph. Our main theorem states that any connected graph in C is a either in some simple basic class or has a decomposition.
Nicolas Trotignon, Kristina Vuskovic
core
Fractional Balanced Chromatic Number and Arboricity of Planar (Signed) Graphs
ABSTRACT A balanced ( p , q ) $(p,q)$‐coloring of a signed graph ( G , σ ) $(G,\sigma )$ is an assignment of q $q$ colors to each vertex of G $G$ from a platter of p $p$ colors, such that each color class induces a balanced set (a set that does not induce a negative cycle).
Reza Naserasr +3 more
wiley +1 more source
Modelling π-electron energy of benzenes via Zagreb psi indices. [PDF]
Yamaç K.
europepmc +1 more source
Generalizations of Dirac's theorem in Hamiltonian graph theory - A survey
Hao Li
semanticscholar +1 more source
Fractional List Packing for Layered Graphs
ABSTRACT The fractional list packing number χ ℓ • ( G ) ${\chi }_{\ell }^{\bullet }(G)$ of a graph G $G$ is a graph invariant that has recently arisen from the study of disjoint list‐colourings. It measures how large the lists of a list‐assignment L : V ( G ) → 2 N $L:V(G)\to {2}^{{\mathbb{N}}}$ need to be to ensure the existence of a “perfectly ...
Stijn Cambie, Wouter Cames van Batenburg
wiley +1 more source
Tight Approximation and Kernelization Bounds for Vertex-Disjoint Shortest Paths. [PDF]
Bentert M, Fomin FV, Golovach PA.
europepmc +1 more source
A graph‐theory algorithm for rapid protein side‐chain prediction
A. Canutescu, A. Shelenkov, R. Dunbrack
semanticscholar +1 more source

