CoV2D Browser

5XYM_1	5IKZ_1	8VPD_1	Letter	Amino acid
3	69	0	P	Proline
3	66	0	G	Glycine
0	36	0	H	Histidine
5	22	0	K	Lycine
0	32	0	F	Phenylalanine
3	65	0	S	Serine
1	14	0	W	Tryptophan
0	35	0	Y	Tyrosine
1	28	0	N	Asparagine
0	51	0	I	Isoleucine
2	64	0	T	Threonine
6	76	0	V	Valine
2	86	0	D	Aspartic acid
6	131	3	L	Leucine
0	9	0	C	Cysteine
3	40	1	Q	Glutamine
1	56	0	E	Glutamic acid
2	10	0	M	Methionine
8	137	7	A	Alanine
11	98	0	R	Arginine

Protein code \(c\)	LZ-complexity \(\mathrm{LZ}(w)\)	Length \(n=\|w\|\)	\(\frac{\mathrm{LZ}(w)}{n /\log_{20} n}\)	\(p_w(1)\)	\(p_w(2)\)	\(p_w(3)\)	Sequence \(w=f(c)\)
5XYM , Knot	34	57	0.80	30	46	54	MAVPKRRMSRANTRSRRAQWKAEAPGLVTVSVAGQQRKVPRRLLKAARLGLVDLDKR
5IKZ , Knot	402	1125	0.83	40	300	949	MVKTFYITAAPVGAVPKFLDPLEPKFIPHALLELLPADRREATIKALEANGWEAVPAGGIVREYGYDAPIDLTDYDGAPASATVHDALRNNGWTPSGSVWHRTQTSPSLAQPPLITRNTLERLSSVDLVRQIVLQLTTFGWTATEDGSLTWAHDRIHTYLSPDFVERMRADNAAVLDSLFENGWRMCGAGHWQPGKARSPYLPITANGIVDASREALREGAAVVHLHTRATDDQATLAIPGLNTPIGIGSQRNHIVLDDYDRIMPTLLDLEPSAILNLSTSARGDRRASQSPLRRAHLKRYGHAQLAPDVASFSPGPVVFQAGGGYDNPNAFLADQLAHFAEVGVRPEIEVFNHTIVENSVTLYQSPLVKAGVPVLFMLVAAVDQYHRDPVSGDTSDDSLIDVPTRKAIAKLLQAGTDDAHEKAVELAATQLRPTVEKLRDNFPSCKISLLLPGPFQALLVDVAIALDLDGIRVGLEDALNVFDARVPGGVRKACGTGDQVRWLRRELERRGIGIVDAETLRDELGMSRPDVALFRQAEAALAHYPADERLVSADTILDALHPIVDTYRKIEDRLAAHLASAESLPADPAALAEHVLTAARSFGITIRSFVEELDRYEDHEYLVARYIQIPQALNFARELLVPRGYSIEAYDRALEDYARPGKTVTREHASYSVRVDQFKPLPLRCLEYLVGIPCRYNSDYSNVVNLGLRQSPRYSATMALLYHALRELTLELRDRSNASRKACGPLWTVLETPADASEPPVRRDVAPDELAAAIASVDWVVLPSTPTTNYPLGIKLSNGMAQLFHGFVAQIAADPTLRPSRQTRRDTPLRLLAITHSGRRDDGETVIEASMLHNRFALNADPSGIYFSEESQLIYERLILPRLVDKPAKLAYTERQLVRRDAAGFPLYQDGARARRINAEQIERLPLLKCFAHSSGIATAQQLDVQACRDGERLGLTGDELRAFFDRALLVSFGSAADIHLDWLGTSVVDVTAFNDVRSLAGTTSRHYVIQPGEHADVLQHCLVHTQPADYRYDHATPVWQDGRQGKIVARLTGVFLLDDHARLDDGHSIRRYLAASPLWLRQWIARFHDAPADTGAHAILRELQSSMTDYRSSANQTTRRALA
8VPD , Knot	6	13	0.39	8	7	9	XAALAAALAQALX

Protein code \(c\)

LZ-complexity \(\mathrm{LZ}(w)\)

Length \(n=|w|\)

\(\frac{\mathrm{LZ}(w)}{n /\log_{20} n}\)

\(p_w(1)\)

\(p_w(2)\)

\(p_w(3)\)

Sequence \(w=f(c)\)

5XYM , Knot

0.80

MAVPKRRMSRANTRSRRAQWKAEAPGLVTVSVAGQQRKVPRRLLKAARLGLVDLDKR

5IKZ , Knot

402

1125

0.83

300

949

MVKTFYITAAPVGAVPKFLDPLEPKFIPHALLELLPADRREATIKALEANGWEAVPAGGIVREYGYDAPIDLTDYDGAPASATVHDALRNNGWTPSGSVWHRTQTSPSLAQPPLITRNTLERLSSVDLVRQIVLQLTTFGWTATEDGSLTWAHDRIHTYLSPDFVERMRADNAAVLDSLFENGWRMCGAGHWQPGKARSPYLPITANGIVDASREALREGAAVVHLHTRATDDQATLAIPGLNTPIGIGSQRNHIVLDDYDRIMPTLLDLEPSAILNLSTSARGDRRASQSPLRRAHLKRYGHAQLAPDVASFSPGPVVFQAGGGYDNPNAFLADQLAHFAEVGVRPEIEVFNHTIVENSVTLYQSPLVKAGVPVLFMLVAAVDQYHRDPVSGDTSDDSLIDVPTRKAIAKLLQAGTDDAHEKAVELAATQLRPTVEKLRDNFPSCKISLLLPGPFQALLVDVAIALDLDGIRVGLEDALNVFDARVPGGVRKACGTGDQVRWLRRELERRGIGIVDAETLRDELGMSRPDVALFRQAEAALAHYPADERLVSADTILDALHPIVDTYRKIEDRLAAHLASAESLPADPAALAEHVLTAARSFGITIRSFVEELDRYEDHEYLVARYIQIPQALNFARELLVPRGYSIEAYDRALEDYARPGKTVTREHASYSVRVDQFKPLPLRCLEYLVGIPCRYNSDYSNVVNLGLRQSPRYSATMALLYHALRELTLELRDRSNASRKACGPLWTVLETPADASEPPVRRDVAPDELAAAIASVDWVVLPSTPTTNYPLGIKLSNGMAQLFHGFVAQIAADPTLRPSRQTRRDTPLRLLAITHSGRRDDGETVIEASMLHNRFALNADPSGIYFSEESQLIYERLILPRLVDKPAKLAYTERQLVRRDAAGFPLYQDGARARRINAEQIERLPLLKCFAHSSGIATAQQLDVQACRDGERLGLTGDELRAFFDRALLVSFGSAADIHLDWLGTSVVDVTAFNDVRSLAGTTSRHYVIQPGEHADVLQHCLVHTQPADYRYDHATPVWQDGRQGKIVARLTGVFLLDDHARLDDGHSIRRYLAASPLWLRQWIARFHDAPADTGAHAILRELQSSMTDYRSSANQTTRRALA

8VPD , Knot

0.39

XAALAAALAQALX

Let \(P_w(n)\) be the set of distinct subwords (intervals) in a word \(w\). Let \(p_w(n)\) be the cardinality of \(P_w(n)\). Let \(f(c)\) be the sequence in FASTA with 4-symbol Protein Data Bank code \(c\).

Newick tree

Pair	\(Z_2\)	Length of longest common subsequence
5XYM_1,5IKZ_1	260	4
5XYM_1,8VPD_1	49	2
5IKZ_1,8VPD_1	297	4

Status	Protein1	Protein2	d	d₁/2
Query variables	5XYM_1	5IKZ_1	387	202.5

In notation analogous to [Theorem 16, Kjos-Hanssen, Niraula and Yoon (2022)],
\[ \delta= \alpha \mathrm{min} + (1-\alpha) \mathrm{max}= \begin{cases} d &\alpha=0,\\ d_1/2 &\alpha=1/2 \end{cases} \]

Graphviz Engine:

digraph G {
							subgraph cluster_theyellow {
								G [style=filled; fillcolor=yellow];
								A [style=filled; fillcolor=yellow];
								V [style=filled; fillcolor=yellow];
								C [style=filled; fillcolor=yellow];
								P [style=filled; fillcolor=yellow];
								L [style=filled; fillcolor=yellow];
								I [style=filled; fillcolor=yellow];
								M [style=filled; fillcolor=yellow];
								W [style=filled; fillcolor=yellow];
								F [style=filled; fillcolor=yellow];
							}
							subgraph cluster_thegreen {
								K [style=filled; fillcolor=green];
								R [style=filled; fillcolor=green];
								H [style=filled; fillcolor=green];
							}
							subgraph cluster_theblue {
								S [style=filled; fillcolor=blue];
								T [style=filled; fillcolor=blue];
								Y [style=filled; fillcolor=blue];
								N [style=filled; fillcolor=blue];
								Q [style=filled; fillcolor=blue];
							}
							subgraph cluster_thepurple {
								D [style=filled; fillcolor=purple];
								E [style=filled; fillcolor=purple];
							}
		
							M->A
							A->V
							V->P
							P->K
							K->R
							R->R
							R->M
							M->S
							S->R
							R->A
							A->N
							N->T
							T->R
							R->S
							A->Q
							Q->W
							W->K
							K->A
							A->E
							E->A
							A->P
							P->G
							G->L
							L->V
							V->T
							T->V
							V->S
							S->V
							V->A
							A->G
							G->Q
							Q->Q
							Q->R
							R->K
							K->V
							P->R
							R->L
							L->L
							L->K
							A->A
							A->R
							L->G
							V->D
							D->L
							L->D
							D->K
						}

Graphviz Engine:

CoV2D BrowserTM

Newick tree

CoV2D Browser^TM