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Graph theory is an important area of applied mathematics with a broad spectrum of applications in many fields. This book results from aSpecialIssue in the journal Mathematics entitled “Graph-Theoretic Problems and Their New Applications”. It contains 20 articles covering a broad spectrum of graph-theoretic works that were selected from 151 submitted papers after a thorough refereeing process. Among others, it includes a deep survey on mixed graphs and their use for solutions ti scheduling problems. Other subjects include topological indices, domination numbers of graphs, domination games, contraction mappings, and neutrosophic graphs. Several applications of graph theory are discussed, e.g., the use of graph theory in the context of molecular processes.

Zagreb indices --- n/a --- generating function --- mitotic cell cycle --- Mycielskian graph --- evolution theory --- grids --- “partitions” of wheel graph --- generalized hypertree --- connectivity --- single-valued neutrosophic graph --- degree of a vertex --- domination game --- interval-valued intuitionistic fuzzy graph --- directed cycle --- makespan criterion --- total-colored graph --- bipartite matching extendable graph --- stochastic convergence --- bipartite neutrosophic graph --- signless Laplacian --- complete neutrosophic graph --- k-trees --- enhanced hypercube --- b-metric space --- resistance distance --- Wiener index --- mixed graph --- line graph --- NP-hard --- generalized first Zagreb index --- inverse degree index --- sum lordeg index --- Edge Wiener --- chromatic polynomial --- degree of vertex --- complement neutrosophic graph --- graphic contraction mappings --- embedding --- Cartesian product --- k-rainbow domination number --- distance between two vertices --- evolution algebra --- k-rainbow dominating function --- PI index --- subtree --- component --- competition-independence game --- interval-valued fuzzy graph --- b-metric-like space --- induced matching extendable --- edge coloring --- degree of edge --- approximation methods --- chromatic index --- join of graphs --- genetic algorithm --- hypergraph --- edge congestion --- complement --- polynomials in graphs --- vertex coloring --- interval-valued neutrosophic graph --- spanning tree --- Kempe chain --- general contractive mappings --- DD index --- wireless multihop network and social network --- distance --- evolutionary approach --- complexity analysis --- neutrosophic graph --- Kempe-locking --- wheel graph --- Birkhoff diamond --- domination number --- k-extendable --- degree-Kirchhoff index --- adjacent matrix --- perfect matching --- spectral radius --- normalized Laplacian --- corona product --- road transport network --- extremal values --- bound --- chromatic number --- graph coloring --- combinatorial optimization --- reformulated Zagreb indices --- wirelength --- intuitionistic fuzzy graph --- unit-time scheduling --- fan graph --- "partitions" of wheel graph

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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