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This book contains the successful invited submissions to a Special Issue of Symmetry on the subject of ""Graph Theory"". Although symmetry has always played an important role in Graph Theory, in recent years, this role has increased significantly in several branches of this field, including but not limited to Gromov hyperbolic graphs, the metric dimension of graphs, domination theory, and topological indices. This Special Issue includes contributions addressing new results on these topics, both from a theoretical and an applied point of view.

Zagreb indices --- domination --- Devaney chaos --- rotationally-symmetric convex polytopes --- topologically mixing --- geometric arithmetic index --- connectivity --- Metric dimension --- atom-bond connectivity ABC index --- distinguishing number --- gear graph --- titanium difluoride --- algorithm --- generalized gear graph --- general Randi? index --- cuprite --- atom bond connectivity index --- binary locating-domination number --- basis --- hypercyclicity --- functigraph --- complete graph --- alpha-boron nanotube --- general randi? index --- geodesics --- inverse degree index --- Hex-Derived Cage networks --- metric dimension --- dominating set --- bipartite graphs --- products of graphs --- geometric-arithmetic GA index --- direct product of graphs --- gromov hyperbolicity --- secure resolving set and secure resolving domination --- topological indices --- graph operators --- resolving set --- harmonic index --- polycyclic aromatic hydrocarbons --- ILP models --- disjointness --- topological transitivity --- Gromov hyperbolicity --- metric basis --- harmonic polynomial

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This text will provide the most recent knowledge and advances in the area of molecular computing and bioinformatics. Molecular computing and bioinformatics have a close relationship, paying attention to the same object but working towards different orientations. The articles will range from topics such as DNA computing and membrane computing to specific biomedical applications, including drug R&D and disease analysis.

systems biology --- join graph --- hierarchical support vector regression --- transcription factor --- brain storm optimization --- heterogeneous information network embedding --- structural patterns --- gene fusion data --- Panax ginseng --- flowering plant --- geometric arithmetic index --- interspecies transmission --- iron-depleted --- drug discovery --- protein --- protein targeting --- recursively enumerable function --- Mycoplasma hominis --- environmental factor --- Alzheimer’s disease --- absorption --- angiogenesis --- classification --- self-organizing systems --- enzymatic numerical P system --- excretion --- atom-bond connectivity index --- molecular learning --- DNA coding --- phylogeny --- bone formation --- DCL1 --- line graph --- pseudo dinucleotide composition --- load balancing --- K2 --- efflux ratio --- osteogenesis --- distribution --- NanoString Technologies --- RAST server --- 8-bit adder/subtractor --- gene networks --- dihydrouridine --- structure information --- Cartesian product graph --- domain label --- stacking denoising auto-encoder --- DNA computing --- Stenotrophomonas maltophilia --- pattern classification --- stress --- causal direction learning --- machine learning --- adverse drug reaction prediction --- membrane computing --- support vector machine --- Brassica napus --- miRNA biogenesis --- identification of Chinese herbal medicines --- bio-inspired --- toxicity --- protein transduction domain --- RNA --- sequence information --- multiple interaction networks --- in silico --- protein complex --- drug --- low-dimensional representation --- gene coding protein --- amino acid mutation --- Bayesian causal model --- edge detection --- big data --- function prediction --- parallel computing --- resolution free --- Hamming distance --- cascade --- oligopeptide transporter --- DNA barcoding technology --- DNA strand displacement --- protein–protein interaction (PPI) --- biomedical text mining --- bioinformatics --- metabolism --- hypoxia-inducible factor-1? --- nucleotide physicochemical property --- Turing universality --- diabetes mellitus --- chaotic map --- multinetwork integration --- bacterial computing --- lignification --- penalized matrix decomposition --- ensemble classifier --- bacteria and plasmid system --- similarity network --- RNA secondary structure --- avian influenza virus --- evaluating driver partner --- image encryption --- siderophores --- meta-path-based proximity --- P-glycoprotein --- Tianhe-2 --- prostate cancer --- iron acquisition systems --- biochip technology --- gene susceptibility prioritization --- laccase --- DNA --- molecular computing --- microRNA --- clustering --- drug-target interaction prediction --- endoplasmic reticulum